Pith Number

pith:VMPW2EKK

pith:2014:VMPW2EKKI5DFNFHDYZYHFUK6M6

not attested not anchored not stored refs pending

Topological invariants for gauge theories and symmetry-protected topological phases

Chenjie Wang, Michael Levin

arxiv:1412.1781 v3 · 2014-12-04 · cond-mat.str-el

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VMPW2EKKI5DFNFHDYZYHFUK6M6}

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.

Receipt and verification

First computed	2026-05-18T02:18:32.870097Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ab1f6d114a47465694e3c67072d15e679f100e0b5074744ee5b23c975a2f7829

Aliases

arxiv: 1412.1781 · arxiv_version: 1412.1781v3 · doi: 10.48550/arxiv.1412.1781 · pith_short_12: VMPW2EKKI5DF · pith_short_16: VMPW2EKKI5DFNFHD · pith_short_8: VMPW2EKK

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/VMPW2EKKI5DFNFHDYZYHFUK6M6 \
  | 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: ab1f6d114a47465694e3c67072d15e679f100e0b5074744ee5b23c975a2f7829

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "630ebf8bba96ebfaa6b8b360558c7e1088fb1c9cce554ad024de3a8fc0672e02",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.str-el",
    "submitted_at": "2014-12-04T19:27:53Z",
    "title_canon_sha256": "f5581a5f17f0037d4bcbdf4f84f5cc7f2e34e8735c0dd342c54ee1062900a349"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.1781",
    "kind": "arxiv",
    "version": 3
  }
}