Pith Number

pith:UR7A77NZ

pith:2010:UR7A77NZIXSKGIBNOYUQENHV6W

not attested not anchored not stored refs pending

Representability of derived stacks

J.P.Pridham

arxiv:1011.2189 v4 · 2010-11-09 · 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{UR7A77NZIXSKGIBNOYUQENHV6W}

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	2026-05-18T02:43:26.521730Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a47e0ffdb945e4a3202d76290234f5f59c841df8b5d90feed7993473121951b8

Aliases

arxiv: 1011.2189 · arxiv_version: 1011.2189v4 · doi: 10.48550/arxiv.1011.2189 · pith_short_12: UR7A77NZIXSK · pith_short_16: UR7A77NZIXSKGIBN · pith_short_8: UR7A77NZ

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/UR7A77NZIXSKGIBNOYUQENHV6W \
  | 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: a47e0ffdb945e4a3202d76290234f5f59c841df8b5d90feed7993473121951b8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9e75a7f3543cf1d766d513fc4b06d8a97d8eaf2f8e2d931ed94043165ef87848",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2010-11-09T20:26:32Z",
    "title_canon_sha256": "421763b5ccf649665f05801d05d4e5db1db2567cd0038d9092e6268afec176c7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.2189",
    "kind": "arxiv",
    "version": 4
  }
}