Pith Number

pith:2CVXFKQ4

pith:2016:2CVXFKQ4O67OOOTUJ7SPWNFCVY

not attested not anchored not stored refs pending

Circle Packings with Generalized Branching

Edward Crane, James Ashe, Kenneth Stephenson

arxiv:1607.03404 v1 · 2016-07-10 · 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{2CVXFKQ4O67OOOTUJ7SPWNFCVY}

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	2026-05-18T01:11:09.080922Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d0ab72aa1c77bee73a744fe4fb34a2ae34d01522a74bb3e7cc8ccca78b034a91

Aliases

arxiv: 1607.03404 · arxiv_version: 1607.03404v1 · doi: 10.48550/arxiv.1607.03404 · pith_short_12: 2CVXFKQ4O67O · pith_short_16: 2CVXFKQ4O67OOOTU · pith_short_8: 2CVXFKQ4

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/2CVXFKQ4O67OOOTUJ7SPWNFCVY \
  | 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: d0ab72aa1c77bee73a744fe4fb34a2ae34d01522a74bb3e7cc8ccca78b034a91

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dda08a0c6de1b2f817b6a868969a28e59b3ba7fdeb96cff122d5f713cf7bf127",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2016-07-10T20:13:44Z",
    "title_canon_sha256": "44c556977dfffad610623618e47ed96faacd425787191572d46cc74c16a3c4be"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.03404",
    "kind": "arxiv",
    "version": 1
  }
}