Pith Number

pith:COB2QAYA

pith:2010:COB2QAYABC4IRRBULNB4YKCAFS

not attested not anchored not stored refs pending

An abstract approach to Loewner chains

Filippo Bracci, Gabriela Kohr, Hidetaka Hamada, Leandro Arosio

arxiv:1002.4262 v3 · 2010-02-23 · math.CV · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{COB2QAYABC4IRRBULNB4YKCAFS}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T04:14:27.645755Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1383a8030008b888c4345b43cc28402cbcc36edd7851c1cbadb638dea7ebea2e

Aliases

arxiv: 1002.4262 · arxiv_version: 1002.4262v3 · doi: 10.48550/arxiv.1002.4262 · pith_short_12: COB2QAYABC4I · pith_short_16: COB2QAYABC4IRRBU · pith_short_8: COB2QAYA

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/COB2QAYABC4IRRBULNB4YKCAFS \
  | 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: 1383a8030008b888c4345b43cc28402cbcc36edd7851c1cbadb638dea7ebea2e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d41c1437aa30a4551c1c6ee0d1c81ea198a40ad1d0ed28f1a2201455afd64d17",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2010-02-23T07:55:59Z",
    "title_canon_sha256": "6acbd274b07b4f0d07852717f793f90ccd863a1ee387ec85abd95e7b4622968b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1002.4262",
    "kind": "arxiv",
    "version": 3
  }
}