Pith Number

pith:E37YKHEQ

pith:2012:E37YKHEQUWPSLXGKMH3DIRZGJW

not attested not anchored not stored refs pending

A tale of three homotopies

Norbert Poncin, Vladimir Dotsenko

arxiv:1208.4695 v3 · 2012-08-23 · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{E37YKHEQUWPSLXGKMH3DIRZGJW}

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	2026-05-18T01:36:58.466353Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

26ff851c90a59f25dcca61f63447264d952d9ec5fa3d7032ea9fa40f1135ef0e

Aliases

arxiv: 1208.4695 · arxiv_version: 1208.4695v3 · doi: 10.48550/arxiv.1208.4695 · pith_short_12: E37YKHEQUWPS · pith_short_16: E37YKHEQUWPSLXGK · pith_short_8: E37YKHEQ

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/E37YKHEQUWPSLXGKMH3DIRZGJW \
  | 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: 26ff851c90a59f25dcca61f63447264d952d9ec5fa3d7032ea9fa40f1135ef0e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "675dd9c8d6ac373722990eccac2a7c29fe609ca9b2f7ce45b4f38e1259530f77",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2012-08-23T09:09:41Z",
    "title_canon_sha256": "60716bcd77f6d246cad244eeffb1c10ea88b9cce08befa2e68f26d171049c17b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.4695",
    "kind": "arxiv",
    "version": 3
  }
}