Pith Number

pith:Y5HVLTWN

pith:2011:Y5HVLTWNWNNHI6DHITGDWJ7ZUM

not attested not anchored not stored refs pending

Euler-Poincar\'e obstruction for pretzels with long tentacles \`a la Cantor-Nyikos

Alexandre Gabard

arxiv:1112.5374 v1 · 2011-12-22 · math.GT · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Y5HVLTWNWNNHI6DHITGDWJ7ZUM}

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	2026-05-18T04:05:47.460389Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c74f55cecdb35a74786744cc3b27f9a3098b68b7bb517c0383b7e43849fae3f5

Aliases

arxiv: 1112.5374 · arxiv_version: 1112.5374v1 · doi: 10.48550/arxiv.1112.5374 · pith_short_12: Y5HVLTWNWNNH · pith_short_16: Y5HVLTWNWNNHI6DH · pith_short_8: Y5HVLTWN

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/Y5HVLTWNWNNHI6DHITGDWJ7ZUM \
  | 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: c74f55cecdb35a74786744cc3b27f9a3098b68b7bb517c0383b7e43849fae3f5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b6be6bd1f148ff758715d0be14ba223d8c67018983955996fea0b572d9ce77fd",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2011-12-22T16:43:40Z",
    "title_canon_sha256": "7bd8a6a0256d3d869d336e2a1967c092c502b1e60cc0f7b79bf150a80e2a6f47"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.5374",
    "kind": "arxiv",
    "version": 1
  }
}