Pith Number

pith:3ST7VWTG

pith:2005:3ST7VWTGNIQGO4E7UNEY3SBWM5

not attested not anchored not stored refs pending

Tropical Convexity via Cellular Resolutions

Florian Block, Josephine Yu

arxiv:math/0503279 v3 · 2005-03-15 · math.MG · 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{3ST7VWTGNIQGO4E7UNEY3SBWM5}

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	2026-05-18T04:02:36.566165Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dca7fada666a2067709fa3498dc83667697de175a77fd028afc17c6c9c4e6322

Aliases

arxiv: math/0503279 · arxiv_version: math/0503279v3 · doi: 10.48550/arxiv.math/0503279 · pith_short_12: 3ST7VWTGNIQG · pith_short_16: 3ST7VWTGNIQGO4E7 · pith_short_8: 3ST7VWTG

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/3ST7VWTGNIQGO4E7UNEY3SBWM5 \
  | 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: dca7fada666a2067709fa3498dc83667697de175a77fd028afc17c6c9c4e6322

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "99d34fa7f350e90ac2d83d781f3bf4e107e7ed9894fb11b4175655a4f4240e56",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "",
    "primary_cat": "math.MG",
    "submitted_at": "2005-03-15T01:46:26Z",
    "title_canon_sha256": "cc5b2e78e0f6910e530e7d2818b46c2437aaf56e5f338db77deed4223d9370dd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0503279",
    "kind": "arxiv",
    "version": 3
  }
}