Pith Number

pith:HUXO2OEK

pith:2002:HUXO2OEKEJ6G5MRQOSCHKFXZ4Z

not attested not anchored not stored refs pending

Various L2-signatures and a topological L2-signature theorem

Thomas Schick (Goettingen), Wolfgang Lueck (Muenster)

arxiv:math/0209161 v3 · 2002-09-13 · math.GT · math.AT · math.KT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HUXO2OEKEJ6G5MRQOSCHKFXZ4Z}

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	2026-05-17T23:59:44.897563Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3d2eed388a227c6eb23074847516f9e658e50befb73fad286efc4fb654ddd81d

Aliases

arxiv: math/0209161 · arxiv_version: math/0209161v3 · doi: 10.48550/arxiv.math/0209161 · pith_short_12: HUXO2OEKEJ6G · pith_short_16: HUXO2OEKEJ6G5MRQ · pith_short_8: HUXO2OEK

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/HUXO2OEKEJ6G5MRQOSCHKFXZ4Z \
  | 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: 3d2eed388a227c6eb23074847516f9e658e50befb73fad286efc4fb654ddd81d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "79499f89c20d065d3a61e38b0b355fdff48c19023b53f3c3f083bd272d297da7",
    "cross_cats_sorted": [
      "math.AT",
      "math.KT"
    ],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "2002-09-13T10:52:22Z",
    "title_canon_sha256": "bc05261bd1d5e16f33d19add6022f00350ca53e2d6ac031dd9508dc3b2ac17dd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0209161",
    "kind": "arxiv",
    "version": 3
  }
}