Pith Number

pith:AZY7JJP5

pith:2014:AZY7JJP5KPUAEBIFTYJCQ6G5HP

not attested not anchored not stored refs pending

Uniformisation of a once-punctured annulus

Tanran Zhang

arxiv:1401.7786 v1 · 2014-01-30 · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AZY7JJP5KPUAEBIFTYJCQ6G5HP}

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	2026-05-18T03:00:38.402103Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0671f4a5fd53e80205059e122878dd3bdbef75b262d66f78479e32727375e15d

Aliases

arxiv: 1401.7786 · arxiv_version: 1401.7786v1 · doi: 10.48550/arxiv.1401.7786 · pith_short_12: AZY7JJP5KPUA · pith_short_16: AZY7JJP5KPUAEBIF · pith_short_8: AZY7JJP5

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/AZY7JJP5KPUAEBIFTYJCQ6G5HP \
  | 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: 0671f4a5fd53e80205059e122878dd3bdbef75b262d66f78479e32727375e15d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e518082cd7138b9cc56705e75f00aea360f863b4d06cceecdf9d4d4beddab0af",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2014-01-30T10:31:49Z",
    "title_canon_sha256": "3ab020e991782576f017a49e0ada0f96083174c2850181a6c06f59ed174f8f7e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.7786",
    "kind": "arxiv",
    "version": 1
  }
}