Pith Number

pith:TFKHN5LI

pith:2013:TFKHN5LIVNLZPLPTIN2LT2DPIF

not attested not anchored not stored refs pending

Weakly polynomial functors

Aur\'elien Djament (LMJL), Christine Vespa (IRMA)

arxiv:1308.4106 v5 · 2013-08-19 · math.AT · math.CT · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TFKHN5LIVNLZPLPTIN2LT2DPIF}

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	2026-05-18T00:43:18.949046Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

995476f568ab5797adf34374b9e86f416747c71b428a7571e86bf854f692135f

Aliases

arxiv: 1308.4106 · arxiv_version: 1308.4106v5 · doi: 10.48550/arxiv.1308.4106 · pith_short_12: TFKHN5LIVNLZ · pith_short_16: TFKHN5LIVNLZPLPT · pith_short_8: TFKHN5LI

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/TFKHN5LIVNLZPLPTIN2LT2DPIF \
  | 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: 995476f568ab5797adf34374b9e86f416747c71b428a7571e86bf854f692135f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a96fdfb7e1c1fa3dc52387a821a94ee28ace8f6b3c19d3a345eeed8d35d2eb56",
    "cross_cats_sorted": [
      "math.CT",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2013-08-19T19:27:37Z",
    "title_canon_sha256": "242edce8947a5523410e4f7b120024c4410ff57a36e377d2c622715523e5a889"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.4106",
    "kind": "arxiv",
    "version": 5
  }
}