Pith Number

pith:77DS5XCN

pith:2011:77DS5XCNKO46OETPOYXIA33EFK

not attested not anchored not stored refs pending

Computing Tropical Linear Spaces

Felipe Rinc\'on

arxiv:1109.4130 v2 · 2011-09-19 · 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{77DS5XCNKO46OETPOYXIA33EFK}

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	2026-05-18T03:31:45.181082Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ffc72edc4d53b9e7126f762e806f642a90f3e2973b39670a35dd73962903f309

Aliases

arxiv: 1109.4130 · arxiv_version: 1109.4130v2 · doi: 10.48550/arxiv.1109.4130 · pith_short_12: 77DS5XCNKO46 · pith_short_16: 77DS5XCNKO46OETP · pith_short_8: 77DS5XCN

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/77DS5XCNKO46OETPOYXIA33EFK \
  | 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: ffc72edc4d53b9e7126f762e806f642a90f3e2973b39670a35dd73962903f309

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e1a9fa8ae16c8141ec972535952e0597fc9ee0f4467d5a78512b34ac27e56c45",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-09-19T19:37:26Z",
    "title_canon_sha256": "164e609b2f7f82c313f2b8524f4aff714e74094f9cd11cc1b140c109522c262e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.4130",
    "kind": "arxiv",
    "version": 2
  }
}