Pith Number

pith:3FREDERQ

pith:2011:3FREDERQ45AH6TORXVTBVZ4APG

not attested not anchored not stored refs pending

The symmetric square of a curve and the Petri map

A. Bruno, E. Sernesi

arxiv:1106.3190 v1 · 2011-06-16 · 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{3FREDERQ45AH6TORXVTBVZ4APG}

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	2026-05-18T04:19:54.053863Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d962419230e7407f4dd1bd661ae7807980962acf45dab16a2909dfd941f33bba

Aliases

arxiv: 1106.3190 · arxiv_version: 1106.3190v1 · doi: 10.48550/arxiv.1106.3190 · pith_short_12: 3FREDERQ45AH · pith_short_16: 3FREDERQ45AH6TOR · pith_short_8: 3FREDERQ

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/3FREDERQ45AH6TORXVTBVZ4APG \
  | 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: d962419230e7407f4dd1bd661ae7807980962acf45dab16a2909dfd941f33bba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8d1b678b32382b9c79f72a163e951d3c9bd4a46a6803affe1facdc515acc2619",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-06-16T10:12:59Z",
    "title_canon_sha256": "607c71edf70036aa7dfbaef90b65576193fdf0dc925ab07735d294aea6e5dfe5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.3190",
    "kind": "arxiv",
    "version": 1
  }
}