Pith Number

pith:67G6WPEQ

pith:2009:67G6WPEQU65BUNSNTNN43Y56VR

not attested not anchored not stored refs pending

Tropical mixtures of star tree metrics

Maria Angelica Cueto

arxiv:0907.2053 v2 · 2009-07-13 · math.AG · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{67G6WPEQU65BUNSNTNN43Y56VR}

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	2026-05-18T04:14:15.243656Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f7cdeb3c90a7ba1a364d9b5bcde3beac5a6bf7474c8d646ead488fd5b2e5ec56

Aliases

arxiv: 0907.2053 · arxiv_version: 0907.2053v2 · doi: 10.48550/arxiv.0907.2053 · pith_short_12: 67G6WPEQU65B · pith_short_16: 67G6WPEQU65BUNSN · pith_short_8: 67G6WPEQ

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/67G6WPEQU65BUNSNTNN43Y56VR \
  | 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: f7cdeb3c90a7ba1a364d9b5bcde3beac5a6bf7474c8d646ead488fd5b2e5ec56

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a3c72dafa7a6e1a2c4c870e02fae73ccef2b58da92ff75c39a5921568c7189d2",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2009-07-13T06:55:43Z",
    "title_canon_sha256": "c326d5524084786f9cb67c495c41cdbde4256cf554b8003752f76317ace1c3c4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0907.2053",
    "kind": "arxiv",
    "version": 2
  }
}