Pith Number

pith:TYH7K6ZZ

pith:2010:TYH7K6ZZPGUGYNGWMLGTVKEYZR

not attested not anchored not stored refs pending

Tropical types and associated cellular resolutions

Anton Dochtermann, Michael Joswig, Raman Sanyal

arxiv:1001.0237 v2 · 2010-01-01 · math.CO · math.AC

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TYH7K6ZZPGUGYNGWMLGTVKEYZR}

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	2026-05-18T03:36:06.735948Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9e0ff57b3979a86c34d662cd3aa898cc7534d4c47690bedc78af6aeb055aa8a6

Aliases

arxiv: 1001.0237 · arxiv_version: 1001.0237v2 · doi: 10.48550/arxiv.1001.0237 · pith_short_12: TYH7K6ZZPGUG · pith_short_16: TYH7K6ZZPGUGYNGW · pith_short_8: TYH7K6ZZ

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/TYH7K6ZZPGUGYNGWMLGTVKEYZR \
  | 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: 9e0ff57b3979a86c34d662cd3aa898cc7534d4c47690bedc78af6aeb055aa8a6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "923319fb2ba0c0369b5172ea20cd00877037275e214bf5da573444e8f120f687",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2010-01-01T14:20:20Z",
    "title_canon_sha256": "7f30212a55f277fb233cfe771952132c5cf14127a03327c67f53185ee074f821"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1001.0237",
    "kind": "arxiv",
    "version": 2
  }
}