Pith Number

pith:GD7ZYF4H

pith:2009:GD7ZYF4HFZIZU7LZDVQOUF2VW2

not attested not anchored not stored refs pending

Realization spaces for tropical fans

Eric Katz, Sam Payne

arxiv:0909.4582 v2 · 2009-09-25 · 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{GD7ZYF4HFZIZU7LZDVQOUF2VW2}

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	2026-05-18T03:59:03.473161Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

30ff9c17872e519a7d791d60ea1755b695d4186e70d11490a8229b8c49e51389

Aliases

arxiv: 0909.4582 · arxiv_version: 0909.4582v2 · doi: 10.48550/arxiv.0909.4582 · pith_short_12: GD7ZYF4HFZIZ · pith_short_16: GD7ZYF4HFZIZU7LZ · pith_short_8: GD7ZYF4H

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/GD7ZYF4HFZIZU7LZDVQOUF2VW2 \
  | 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: 30ff9c17872e519a7d791d60ea1755b695d4186e70d11490a8229b8c49e51389

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7635849ec444f29b2946b12cf5ecb429e4764053fcdd2a79c8cdaf37a9d2b155",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2009-09-25T01:04:59Z",
    "title_canon_sha256": "b38413d23abadc8720ffe175059d0a60a95e6e485813845d13f49f51a7d41de0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0909.4582",
    "kind": "arxiv",
    "version": 2
  }
}