Pith Number

pith:E5R5UCUU

pith:2012:E5R5UCUUU5PINHJJ647BCY422D

not attested not anchored not stored refs pending

Foncteurs de Mackey \`a r\'eciprocit\'e

Bruno Kahn (IMJ)

arxiv:1210.7577 v1 · 2012-10-29 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{E5R5UCUUU5PINHJJ647BCY422D}

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	2026-05-18T03:42:09.504521Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2763da0a94a75e869d29f73e11639ad0de50483bb5461f65fc818e3f37223045

Aliases

arxiv: 1210.7577 · arxiv_version: 1210.7577v1 · doi: 10.48550/arxiv.1210.7577 · pith_short_12: E5R5UCUUU5PI · pith_short_16: E5R5UCUUU5PINHJJ · pith_short_8: E5R5UCUU

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/E5R5UCUUU5PINHJJ647BCY422D \
  | 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: 2763da0a94a75e869d29f73e11639ad0de50483bb5461f65fc818e3f37223045

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "41d025467aded54b924c45125e9528901cb24dc841990e9155de5efe1cdb0240",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-10-29T07:26:24Z",
    "title_canon_sha256": "1c658237af03c22e75a9141ade0f5479bb023ce36b6502ec36390017a2b652a8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.7577",
    "kind": "arxiv",
    "version": 1
  }
}