Pith Number

pith:HXOBOJ5W

pith:2010:HXOBOJ5WI2L4RNQ2QIGOL3LSFG

not attested not anchored not stored refs pending

Combinatorics of the tropical Torelli map

Melody Chan

arxiv:1012.4539 v2 · 2010-12-21 · math.CO · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HXOBOJ5WI2L4RNQ2QIGOL3LSFG}

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	2026-05-18T04:27:47.329262Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3ddc1727b64697c8b61a820ce5ed722988624957d13a04995f97fdb9d381c715

Aliases

arxiv: 1012.4539 · arxiv_version: 1012.4539v2 · doi: 10.48550/arxiv.1012.4539 · pith_short_12: HXOBOJ5WI2L4 · pith_short_16: HXOBOJ5WI2L4RNQ2 · pith_short_8: HXOBOJ5W

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/HXOBOJ5WI2L4RNQ2QIGOL3LSFG \
  | 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: 3ddc1727b64697c8b61a820ce5ed722988624957d13a04995f97fdb9d381c715

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a93b7bfed155c1e3116fb25c593a0cabd5c983bf8bbd21cdc1d90fa8caddc4d0",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2010-12-21T03:12:44Z",
    "title_canon_sha256": "cec966b7bbc417d1b172dfdcdab8c5c4989a57246905b989d74a64d94beb8657"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.4539",
    "kind": "arxiv",
    "version": 2
  }
}