Pith Number

pith:PW5AJWEI

pith:2017:PW5AJWEIY6UZLGCGUOYNMILU5F

not attested not anchored not stored refs pending

The Sum Over Topological Sectors and $\theta$ in the 2+1-Dimensional $\mathbb{C}\mathbb{P}^1$ $\sigma$-Model

Daniel S. Freed, Nathan Seiberg, Zohar Komargodski

arxiv:1707.05448 v3 · 2017-07-18 · cond-mat.str-el · hep-th · math.AT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PW5AJWEIY6UZLGCGUOYNMILU5F}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Cited by

1 paper in Pith

Snowmass White Paper: Generalized Symmetries in Quantum Field Theory and Beyond

Receipt and verification

First computed	2026-05-18T00:21:13.362138Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7dba04d888c7a9959846a3b0d62174e972f93185039418acb1b1aee6e0ce94b0

Aliases

arxiv: 1707.05448 · arxiv_version: 1707.05448v3 · doi: 10.48550/arxiv.1707.05448 · pith_short_12: PW5AJWEIY6UZ · pith_short_16: PW5AJWEIY6UZLGCG · pith_short_8: PW5AJWEI

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/PW5AJWEIY6UZLGCGUOYNMILU5F \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 7dba04d888c7a9959846a3b0d62174e972f93185039418acb1b1aee6e0ce94b0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "470e03e2d42f279e4a0b27fc9a07d4013399f30459220feec9d9ac4565e62793",
    "cross_cats_sorted": [
      "hep-th",
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.str-el",
    "submitted_at": "2017-07-18T03:14:38Z",
    "title_canon_sha256": "4eed10cd5d15c35602ea2bc63f2d2adc9499119c26359b9af6deee74e6c7a695"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.05448",
    "kind": "arxiv",
    "version": 3
  }
}