Pith Number

pith:7UXMUQII

pith:2013:7UXMUQIIWMVE6G45QK7OZQM7AO

not attested not anchored not stored refs pending

On the relative dual of an $S^1$-gerbe over an orbifold

Hsian-Hua Tseng, Ilya Shapiro, Xiang Tang

arxiv:1312.7316 v1 · 2013-12-27 · math.AG · math.DG · math.KT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7UXMUQIIWMVE6G45QK7OZQM7AO}

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	2026-05-18T02:35:52.221797Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fd2eca4108b32a4f1b9d82beecc19f03b3d8270406730884fee91675a987dbb4

Aliases

arxiv: 1312.7316 · arxiv_version: 1312.7316v1 · doi: 10.48550/arxiv.1312.7316 · pith_short_12: 7UXMUQIIWMVE · pith_short_16: 7UXMUQIIWMVE6G45 · pith_short_8: 7UXMUQII

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/7UXMUQIIWMVE6G45QK7OZQM7AO \
  | 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: fd2eca4108b32a4f1b9d82beecc19f03b3d8270406730884fee91675a987dbb4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "81d0651e82706b7b532ef7986228e9f97ab380ea5359c557cdea288ee2fb877d",
    "cross_cats_sorted": [
      "math.DG",
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-12-27T19:04:45Z",
    "title_canon_sha256": "c20d90fbbbaacf6a599f3b0f367604111b6fa0f3fafa32dc34bfab565f85716e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.7316",
    "kind": "arxiv",
    "version": 1
  }
}