Pith Number

pith:VAZCJZW3

pith:2008:VAZCJZW34ZM7EWEPVGIJ3AGDU6

not attested not anchored not stored refs pending

Discrete complex analysis on isoradial graphs

Dmitry Chelkak, Stanislav Smirnov

arxiv:0810.2188 v2 · 2008-10-13 · math.CV · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VAZCJZW34ZM7EWEPVGIJ3AGDU6}

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	2026-05-18T04:22:29.954523Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a83224e6dbe659f2588fa9909d80c3a798361a758d027d858400f2b19078ba70

Aliases

arxiv: 0810.2188 · arxiv_version: 0810.2188v2 · doi: 10.48550/arxiv.0810.2188 · pith_short_12: VAZCJZW34ZM7 · pith_short_16: VAZCJZW34ZM7EWEP · pith_short_8: VAZCJZW3

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/VAZCJZW34ZM7EWEPVGIJ3AGDU6 \
  | 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: a83224e6dbe659f2588fa9909d80c3a798361a758d027d858400f2b19078ba70

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dda84288f97dad61b2d9797f23e65be05cbe2c3a54aa34307953c355c6fb8239",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2008-10-13T18:48:54Z",
    "title_canon_sha256": "62607ede2e76becfdaf9dbb1826b3012adb1907bd7dd3519d003fe572fa7343e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0810.2188",
    "kind": "arxiv",
    "version": 2
  }
}