Pith Number

pith:44ZDDVTA

pith:2018:44ZDDVTAKCOMDD3CFBYAJKUFCL

not attested not anchored not stored refs pending

Convergence of combinatorial Ricci flows to degenerate circle patterns

Asuka Takatsu

arxiv:1806.05812 v2 · 2018-06-15 · math.DG · 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{44ZDDVTAKCOMDD3CFBYAJKUFCL}

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	2026-05-18T00:07:49.229636Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e73231d660509cc18f62287004aa8512ce9fa682b8f0693aa83e632bfae9362c

Aliases

arxiv: 1806.05812 · arxiv_version: 1806.05812v2 · doi: 10.48550/arxiv.1806.05812 · pith_short_12: 44ZDDVTAKCOM · pith_short_16: 44ZDDVTAKCOMDD3C · pith_short_8: 44ZDDVTA

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/44ZDDVTAKCOMDD3CFBYAJKUFCL \
  | 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: e73231d660509cc18f62287004aa8512ce9fa682b8f0693aa83e632bfae9362c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a954e124c26fea230e4de9ea7546c98eb620204658c40a53a31209e96ba87964",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2018-06-15T05:45:01Z",
    "title_canon_sha256": "cfffc3e1c36d2b6ff9411b366f018cd731711074a87ba32f5417bc73c31e2173"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.05812",
    "kind": "arxiv",
    "version": 2
  }
}