Pith Number

pith:YIUVEYBU

pith:2011:YIUVEYBUIAJXHAIUTYTPCH4RWK

not attested not anchored not stored refs pending

Gromov-Witten theory of banded gerbes over schemes

Elena Andreini, Hsian-Hua Tseng, Yunfeng Jiang

arxiv:1101.5996 v2 · 2011-01-31 · math.AG · 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{YIUVEYBUIAJXHAIUTYTPCH4RWK}

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	2026-05-18T04:30:13.347264Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c22952603440137381149e26f11f91b2815f8f73607c1a8580d562f78cf4f891

Aliases

arxiv: 1101.5996 · arxiv_version: 1101.5996v2 · doi: 10.48550/arxiv.1101.5996 · pith_short_12: YIUVEYBUIAJX · pith_short_16: YIUVEYBUIAJXHAIU · pith_short_8: YIUVEYBU

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/YIUVEYBUIAJXHAIUTYTPCH4RWK \
  | 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: c22952603440137381149e26f11f91b2815f8f73607c1a8580d562f78cf4f891

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "df38f69ad7dddd47aa31d34f688c985a824823a041111fc0f66f86f5fd35d22c",
    "cross_cats_sorted": [
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-01-31T15:43:54Z",
    "title_canon_sha256": "da2bb793b75e8fbac0edddb92978156b624703c478a2f1a588c6ee3991f1beab"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.5996",
    "kind": "arxiv",
    "version": 2
  }
}