Pith Number

pith:FC3UZVN2

pith:2011:FC3UZVN2CDEKM3OWXID7776AKI

not attested not anchored not stored refs pending

Affine and Projective Tree Metric Theorems

Aaron Kleinman, Lior Pachter, Matan Harel

arxiv:1103.2384 v2 · 2011-03-11 · 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{FC3UZVN2CDEKM3OWXID7776AKI}

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	2026-05-18T04:10:35.973764Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

28b74cd5ba10c8a66dd6ba07ffffc0521daf2790e5628b5010978dad11083f77

Aliases

arxiv: 1103.2384 · arxiv_version: 1103.2384v2 · doi: 10.48550/arxiv.1103.2384 · pith_short_12: FC3UZVN2CDEK · pith_short_16: FC3UZVN2CDEKM3OW · pith_short_8: FC3UZVN2

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/FC3UZVN2CDEKM3OWXID7776AKI \
  | 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: 28b74cd5ba10c8a66dd6ba07ffffc0521daf2790e5628b5010978dad11083f77

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a64d3fb84f6209929483e547f5a64391b362917d3e211e503e564c400f57d4a7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-03-11T21:42:57Z",
    "title_canon_sha256": "a3e7d872b3959e3fbbe5d50c5fe56c2f0388bf5e1944fbac98f106e8b2c11903"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.2384",
    "kind": "arxiv",
    "version": 2
  }
}