Pith Number

pith:6DCPYM4M

pith:2016:6DCPYM4MPBLFNDCMMYRWAYU77J

not attested not anchored not stored refs pending

Tropical Ideals

Diane Maclagan, Felipe Rinc\'on

arxiv:1609.03838 v2 · 2016-09-13 · math.AG · math.AC · 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{6DCPYM4MPBLFNDCMMYRWAYU77J}

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	2026-05-17T23:53:13.011217Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f0c4fc338c7856568c4c662360629ffa4728acf6e097e1d3d5931e1b8eeee092

Aliases

arxiv: 1609.03838 · arxiv_version: 1609.03838v2 · doi: 10.48550/arxiv.1609.03838 · pith_short_12: 6DCPYM4MPBLF · pith_short_16: 6DCPYM4MPBLFNDCM · pith_short_8: 6DCPYM4M

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/6DCPYM4MPBLFNDCMMYRWAYU77J \
  | 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: f0c4fc338c7856568c4c662360629ffa4728acf6e097e1d3d5931e1b8eeee092

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "88d8f87bdcd7a877375d873f1a600daee9bcfde1a1170419c8ae4c7e9204040b",
    "cross_cats_sorted": [
      "math.AC",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-09-13T14:02:57Z",
    "title_canon_sha256": "a0895743ec1459c85c2980dc156697677cd23ad7b37ca1df4d0328d5fc987a67"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.03838",
    "kind": "arxiv",
    "version": 2
  }
}