Pith Number

pith:3MC4YVTN

pith:2012:3MC4YVTNZSZWE6JUFWQKVASJTY

not attested not anchored not stored refs pending

Normal Criteria for Families of Meromorphic Functions

Gerd Dethloff (LMBA), Nguyen Van Thin, Tran Van Tan

arxiv:1211.4160 v2 · 2012-11-17 · 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{3MC4YVTNZSZWE6JUFWQKVASJTY}

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	2026-05-18T00:52:08.747097Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

db05cc566dccb36279342da0aa82499e1b02a740b427441a76473759bffc28d0

Aliases

arxiv: 1211.4160 · arxiv_version: 1211.4160v2 · doi: 10.48550/arxiv.1211.4160 · pith_short_12: 3MC4YVTNZSZW · pith_short_16: 3MC4YVTNZSZWE6JU · pith_short_8: 3MC4YVTN

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/3MC4YVTNZSZWE6JUFWQKVASJTY \
  | 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: db05cc566dccb36279342da0aa82499e1b02a740b427441a76473759bffc28d0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1b427a385527b5b4fe56fc53ee7492990e6f2be287bd8bd1e342e34c83d44558",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2012-11-17T20:25:06Z",
    "title_canon_sha256": "9cec5a21fa29180cc7a69b47876b3f59ec28e6c16c04589685d7128b0e1d160b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.4160",
    "kind": "arxiv",
    "version": 2
  }
}