Pith Number

pith:X7NGKH25

pith:2010:X7NGKH25USZGESZTLSBM4DCT62

not attested not anchored not stored refs pending

Tropical Geometry and the Motivic Nearby Fiber

Alan Stapledon, Eric Katz

arxiv:1007.0511 v2 · 2010-07-03 · 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{X7NGKH25USZGESZTLSBM4DCT62}

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	2026-05-17T23:53:19.701451Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bfda651f5da4b2624b335c82ce0c53f6bd817add3328182745b9a90bac1361a7

Aliases

arxiv: 1007.0511 · arxiv_version: 1007.0511v2 · doi: 10.48550/arxiv.1007.0511 · pith_short_12: X7NGKH25USZG · pith_short_16: X7NGKH25USZGESZT · pith_short_8: X7NGKH25

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/X7NGKH25USZGESZTLSBM4DCT62 \
  | 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: bfda651f5da4b2624b335c82ce0c53f6bd817add3328182745b9a90bac1361a7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "22faa97ea7df3f22d3b2890c1dc6ae658ea7963bc4c85df9be895ec24eb30d23",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2010-07-03T20:09:50Z",
    "title_canon_sha256": "edd8991d71d1cb736669a15b8e901f83d7227e4e73843cd6af9f2226d1cf7056"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1007.0511",
    "kind": "arxiv",
    "version": 2
  }
}