Pith Number

pith:5BF2ZJU2

pith:2011:5BF2ZJU2M4T7JRJENUA44TIBJL

not attested not anchored not stored refs pending

Invariants de Welschinger

Alexandru Oancea

arxiv:1110.5397 v1 · 2011-10-25 · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5BF2ZJU2M4T7JRJENUA44TIBJL}

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	2026-05-18T04:10:22.979375Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e84baca69a6727f4c5246d01ce4d014afb8989011b30819cb119b671226080e0

Aliases

arxiv: 1110.5397 · arxiv_version: 1110.5397v1 · doi: 10.48550/arxiv.1110.5397 · pith_short_12: 5BF2ZJU2M4T7 · pith_short_16: 5BF2ZJU2M4T7JRJE · pith_short_8: 5BF2ZJU2

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/5BF2ZJU2M4T7JRJENUA44TIBJL \
  | 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: e84baca69a6727f4c5246d01ce4d014afb8989011b30819cb119b671226080e0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f44d696305a68b32f2adad1e185a63bccd53b9cf3693ac625f3f67f82816f320",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2011-10-25T02:22:05Z",
    "title_canon_sha256": "5cfc2ef074d14930b7c7d0ccb7c532a0887e12bce0720050072852e84e18d88e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.5397",
    "kind": "arxiv",
    "version": 1
  }
}