Pith Number

pith:PFNPU5DX

pith:2011:PFNPU5DXQ6HJOOFLIHGNGSNGOK

not attested not anchored not stored refs pending

"Parallel" transport - revisited

Jim Stasheff

arxiv:1111.5495 v1 · 2011-11-23 · math.AT · math.DG · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PFNPU5DXQ6HJOOFLIHGNGSNGOK}

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	2026-05-18T04:07:43.621604Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

795afa7477878e9738ab41ccd349a6728f187e0fb4d05bd16681a5377d2b292b

Aliases

arxiv: 1111.5495 · arxiv_version: 1111.5495v1 · doi: 10.48550/arxiv.1111.5495 · pith_short_12: PFNPU5DXQ6HJ · pith_short_16: PFNPU5DXQ6HJOOFL · pith_short_8: PFNPU5DX

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/PFNPU5DXQ6HJOOFLIHGNGSNGOK \
  | 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: 795afa7477878e9738ab41ccd349a6728f187e0fb4d05bd16681a5377d2b292b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "21b73090a6dfb3b5298ed6183dfbda7e1dc6ee771f6ddc670aba0d0830e52944",
    "cross_cats_sorted": [
      "math.DG",
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2011-11-23T13:59:11Z",
    "title_canon_sha256": "a03c84529634de8ee7f026849eb7a421e82c3095ba5fbd3fedc8c8accb402755"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.5495",
    "kind": "arxiv",
    "version": 1
  }
}