Pith Number

pith:2RSIDJJA

pith:2008:2RSIDJJAVG6RZGVNMQ5P4MWT35

not attested not anchored not stored refs pending

Theories of bundles with additional homotopy conditions

A.V. Ershov

arxiv:0804.1119 v3 · 2008-04-07 · math.KT · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2RSIDJJAVG6RZGVNMQ5P4MWT35}

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.

Cited by

1 paper in Pith

Entangling Topological Invariants

Receipt and verification

First computed	2026-07-04T15:13:56.824187Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d46481a520a9bd1c9aad643afe32d3df7530eb9dc2ecd4854829e1e4d67fe163

Aliases

arxiv: 0804.1119 · arxiv_version: 0804.1119v3 · doi: 10.48550/arxiv.0804.1119 · pith_short_12: 2RSIDJJAVG6R · pith_short_16: 2RSIDJJAVG6RZGVN · pith_short_8: 2RSIDJJA

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/2RSIDJJAVG6RZGVNMQ5P4MWT35 \
  | 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: d46481a520a9bd1c9aad643afe32d3df7530eb9dc2ecd4854829e1e4d67fe163

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "af403f92365bf5b6ffad6a0c676c919bf5e4ac3a4b7e6eea4ece6e74271f6f05",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2008-04-07T19:51:17Z",
    "title_canon_sha256": "92008ae3892620da1ca34df6d97dc3653da13ab3b7464ec0f07bc3da63eff138"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0804.1119",
    "kind": "arxiv",
    "version": 3
  }
}