Pith Number

pith:ZQVEOLYZ

pith:2007:ZQVEOLYZ2BYCPA5YVWLV6FSR2H

not attested not anchored not stored refs pending

Tropical bases by regular projections

Kerstin Hept, Thorsten Theobald

arxiv:0708.1727 v2 · 2007-08-13 · 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{ZQVEOLYZ2BYCPA5YVWLV6FSR2H}

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	2026-05-18T04:09:15.015046Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cc2a472f19d0702783b8ad975f1651d1f80a8a9d7d024ea756bbb37c1f806f60

Aliases

arxiv: 0708.1727 · arxiv_version: 0708.1727v2 · doi: 10.48550/arxiv.0708.1727 · pith_short_12: ZQVEOLYZ2BYC · pith_short_16: ZQVEOLYZ2BYCPA5Y · pith_short_8: ZQVEOLYZ

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/ZQVEOLYZ2BYCPA5YVWLV6FSR2H \
  | 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: cc2a472f19d0702783b8ad975f1651d1f80a8a9d7d024ea756bbb37c1f806f60

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "940a3335f7c09268e88d53a60b2a7baf93a7af79a8694b0f7cd8c1f04aa05281",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2007-08-13T15:39:52Z",
    "title_canon_sha256": "e8b39c89ee90348458e846359817003b7275557b1fcda52eafd6653466ac3f84"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0708.1727",
    "kind": "arxiv",
    "version": 2
  }
}