Pith Number

pith:YIQC4HWG

pith:2013:YIQC4HWGTTU7X7D5HZRST6HDCR

not attested not anchored not stored refs pending

A discrete uniformization theorem for polyhedral surfaces

Feng Luo, Jian Sun, Tianqi Wu, Xianfeng Gu

arxiv:1309.4175 v1 · 2013-09-17 · math.GT · math.DG · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YIQC4HWGTTU7X7D5HZRST6HDCR}

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	2026-05-18T03:13:09.366299Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c2202e1ec69ce9fbfc7d3e6329f8e3146a9a4750ce002504336bfc979ce49f11

Aliases

arxiv: 1309.4175 · arxiv_version: 1309.4175v1 · doi: 10.48550/arxiv.1309.4175 · pith_short_12: YIQC4HWGTTU7 · pith_short_16: YIQC4HWGTTU7X7D5 · pith_short_8: YIQC4HWG

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/YIQC4HWGTTU7X7D5HZRST6HDCR \
  | 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: c2202e1ec69ce9fbfc7d3e6329f8e3146a9a4750ce002504336bfc979ce49f11

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "19e60911fd2fafa50b2652775803ed720d13c27821122eba77ba81fdb806a395",
    "cross_cats_sorted": [
      "math.DG",
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2013-09-17T04:07:00Z",
    "title_canon_sha256": "f0d2068a8386da420b91ac16f902921cf1f469026481f713d840673ea3b88225"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.4175",
    "kind": "arxiv",
    "version": 1
  }
}