Pith Number

pith:5HINMFOC

pith:2025:5HINMFOCJYNQCJOCSBJAQ4CUQT

not attested not anchored not stored refs pending

Manifold structures on highly connected Poincar\'e complexes

Wen Shen

arxiv:2507.23228 v2 · 2025-07-31 · math.AT · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5HINMFOCJYNQCJOCSBJAQ4CUQT}

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	2026-07-05T11:56:21.837936Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e9d0d615c24e1b0125c2905208705484e60b63e8d46ba9dd11d190eebe44b438

Aliases

arxiv: 2507.23228 · arxiv_version: 2507.23228v2 · doi: 10.48550/arxiv.2507.23228 · pith_short_12: 5HINMFOCJYNQ · pith_short_16: 5HINMFOCJYNQCJOC · pith_short_8: 5HINMFOC

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/5HINMFOCJYNQCJOCSBJAQ4CUQT \
  | 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: e9d0d615c24e1b0125c2905208705484e60b63e8d46ba9dd11d190eebe44b438

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b56d89e67e80e0e6470fc65cab13eef1b9532433e29d07eb29533162cc1b2b24",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2025-07-31T03:50:06Z",
    "title_canon_sha256": "f02539c8eea4e76aead3e7fa1c19b7c125c3cc57b91b1a06fb75b1f83ccedcc9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.23228",
    "kind": "arxiv",
    "version": 2
  }
}