Pith Number

pith:XGOG37X5

pith:2007:XGOG37X5PBSVMPPVIAYBAQHYXJ

not attested not anchored not stored refs pending

Loop groups and twisted K-theory I

Constantin Teleman, Daniel S. Freed, Michael J. Hopkins

arxiv:0711.1906 v1 · 2007-11-13 · math.AT · hep-th · math.KT · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XGOG37X5PBSVMPPVIAYBAQHYXJ}

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

Topological symmetry in quantum field theory

Receipt and verification

First computed	2026-05-18T02:58:12.083847Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b99c6dfefd7865563df540301040f8ba70e273f39c237c74a009c71cb61f5cbb

Aliases

arxiv: 0711.1906 · arxiv_version: 0711.1906v1 · doi: 10.48550/arxiv.0711.1906 · pith_short_12: XGOG37X5PBSV · pith_short_16: XGOG37X5PBSVMPPV · pith_short_8: XGOG37X5

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/XGOG37X5PBSVMPPVIAYBAQHYXJ \
  | 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: b99c6dfefd7865563df540301040f8ba70e273f39c237c74a009c71cb61f5cbb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e49ab8b7bc52786ca9a2493b8be31918bd8f47eaf5d8c33d0b86286f8b80a3d3",
    "cross_cats_sorted": [
      "hep-th",
      "math.KT",
      "math.RT"
    ],
    "license": "",
    "primary_cat": "math.AT",
    "submitted_at": "2007-11-13T02:39:50Z",
    "title_canon_sha256": "517965a8e56cc6ef05b1364f3b616c09c98ad46a608f21d8ec6e6505212fafb0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0711.1906",
    "kind": "arxiv",
    "version": 1
  }
}