Pith Number

pith:JF4UQUFO

pith:2010:JF4UQUFODCGT7JBY4VQL3BYB36

not attested not anchored not stored refs pending

Troesch complexes and extensions of strict polynomial functors

Antoine Touz\'e

arxiv:1005.3133 v3 · 2010-05-18 · 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{JF4UQUFODCGT7JBY4VQL3BYB36}

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	2026-05-18T03:43:05.473635Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

49794850ae188d3fa438e560bd8701dfadcaa0ab2126e5eaf6790bd499399262

Aliases

arxiv: 1005.3133 · arxiv_version: 1005.3133v3 · doi: 10.48550/arxiv.1005.3133 · pith_short_12: JF4UQUFODCGT · pith_short_16: JF4UQUFODCGT7JBY · pith_short_8: JF4UQUFO

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/JF4UQUFODCGT7JBY4VQL3BYB36 \
  | 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: 49794850ae188d3fa438e560bd8701dfadcaa0ab2126e5eaf6790bd499399262

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b9b829e37bb94cb84bc6a39dda5efee0011585f119f924a8ec040d13766365f5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2010-05-18T09:52:23Z",
    "title_canon_sha256": "08bc2cf8c75207bef3ef86197e914430159465c017f9e170d1fb7e10c4d8cf1e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1005.3133",
    "kind": "arxiv",
    "version": 3
  }
}