Pith Number

pith:7U5PD5IL

pith:2021:7U5PD5IL4Q6XGRF5M6X2GLSWEH

not attested not anchored not stored refs pending

The Convergence of Discrete Uniformizations for Genus Zero Surfaces

Tianqi Wu, Xiaoping Zhu, Yanwen Luo

arxiv:2110.08208 v1 · 2021-10-15 · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7U5PD5IL4Q6XGRF5M6X2GLSWEH}

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	2026-07-05T03:23:01.449507Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fd3af1f50be43d7344bd67afa32e5621f611ae61d57103d120ced40d9ef9e0bd

Aliases

arxiv: 2110.08208 · arxiv_version: 2110.08208v1 · doi: 10.48550/arxiv.2110.08208 · pith_short_12: 7U5PD5IL4Q6X · pith_short_16: 7U5PD5IL4Q6XGRF5 · pith_short_8: 7U5PD5IL

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/7U5PD5IL4Q6XGRF5M6X2GLSWEH \
  | 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: fd3af1f50be43d7344bd67afa32e5621f611ae61d57103d120ced40d9ef9e0bd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "741af0cb18611d599313a266578ce141cba2c62a47dbd99d0cf271d4d8ec3616",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2021-10-15T17:14:47Z",
    "title_canon_sha256": "28fa6ea04aebcc8bbd74b6b8618d213a03a50bb1b247051781bb511faff1ad9f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2110.08208",
    "kind": "arxiv",
    "version": 1
  }
}