Pith Number

pith:CMNDTKK5

pith:2003:CMNDTKK5SZLFFS7O6WEEAV3TXR

not attested not anchored not stored refs pending

Cubulating spaces with walls

Bogdan Nica

arxiv:math/0309001 v3 · 2003-08-29 · math.GT · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CMNDTKK5SZLFFS7O6WEEAV3TXR}

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	2026-05-18T02:41:32.612558Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

131a39a95d965652cbeef588405773bc5756be41be7e9396d299e04383a0445a

Aliases

arxiv: math/0309001 · arxiv_version: math/0309001v3 · doi: 10.48550/arxiv.math/0309001 · pith_short_12: CMNDTKK5SZLF · pith_short_16: CMNDTKK5SZLFFS7O · pith_short_8: CMNDTKK5

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/CMNDTKK5SZLFFS7O6WEEAV3TXR \
  | 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: 131a39a95d965652cbeef588405773bc5756be41be7e9396d299e04383a0445a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f2241e3fa776b243b1f2139e3187125dfce6d2d0594cdb75c308e57ad4289ffd",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "2003-08-29T20:23:24Z",
    "title_canon_sha256": "152b45f43ec1f7b001d0ae3303757a160822861c010b3774fc64f0038e54b81d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0309001",
    "kind": "arxiv",
    "version": 3
  }
}