Pith Number

pith:2RFVTBQG

pith:2001:2RFVTBQG5JUIOHI5V5R3PIYSDZ

not attested not anchored not stored refs pending

Homotopy classes that are trivial mod F

Jeffrey Strom, Martin Arkowitz

arxiv:math/0106184 v2 · 2001-06-21 · 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{2RFVTBQG5JUIOHI5V5R3PIYSDZ}

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	2026-05-18T02:41:33.278199Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d44b598606ea68871d1daf63b7a3121e536127a2a3ad1a94debbba1eb25f2fc6

Aliases

arxiv: math/0106184 · arxiv_version: math/0106184v2 · doi: 10.48550/arxiv.math/0106184 · pith_short_12: 2RFVTBQG5JUI · pith_short_16: 2RFVTBQG5JUIOHI5 · pith_short_8: 2RFVTBQG

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/2RFVTBQG5JUIOHI5V5R3PIYSDZ \
  | 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: d44b598606ea68871d1daf63b7a3121e536127a2a3ad1a94debbba1eb25f2fc6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "43006f163fd8716ad5ec28078020af8ec76c714bbe1d9d5972f144ae40a7375c",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AT",
    "submitted_at": "2001-06-21T22:28:39Z",
    "title_canon_sha256": "3ea6ba5e7c7c280d82ad2e8c8d5a1ba584a810691553ad64493172aeec0bd481"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0106184",
    "kind": "arxiv",
    "version": 2
  }
}