Pith Number

pith:LCSXYALP

pith:2009:LCSXYALPACPYDIQK43ULQRC65D

not attested not anchored not stored refs pending

Multivariable manifold calculus of functors

Brian A. Munson, Ismar Volic

arxiv:0904.4185 v2 · 2009-04-27 · 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{LCSXYALPACPYDIQK43ULQRC65D}

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	2026-05-18T04:41:06.013084Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

58a57c016f009f81a20ae6e8b8445ee8e7d48c23b55883b82ceb1b350875c6d7

Aliases

arxiv: 0904.4185 · arxiv_version: 0904.4185v2 · doi: 10.48550/arxiv.0904.4185 · pith_short_12: LCSXYALPACPY · pith_short_16: LCSXYALPACPYDIQK · pith_short_8: LCSXYALP

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/LCSXYALPACPYDIQK43ULQRC65D \
  | 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: 58a57c016f009f81a20ae6e8b8445ee8e7d48c23b55883b82ceb1b350875c6d7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8539fc5d87bcbad3d212d2893b66012a8e10d3bd3d0218cf9e5f866618b2fa05",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2009-04-27T15:27:25Z",
    "title_canon_sha256": "44bf1e4d8237143962565b2546473dde560c234186adb6ac5a8d0af2bc44560a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0904.4185",
    "kind": "arxiv",
    "version": 2
  }
}