Pith Number

pith:ZTLMM2AZ

pith:2009:ZTLMM2AZHSEEY3OGHAZR7UHJNH

not attested not anchored not stored refs pending

On the Dimension of AG Trace Codes

Phong Le, Sunil Chetty

arxiv:0902.1729 v4 · 2009-02-10 · math.NT · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZTLMM2AZHSEEY3OGHAZR7UHJNH}

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	2026-05-18T01:22:09.067951Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ccd6c668193c884c6dc638331fd0e969ca7a6819b74c4322972e96d56be84285

Aliases

arxiv: 0902.1729 · arxiv_version: 0902.1729v4 · doi: 10.48550/arxiv.0902.1729 · pith_short_12: ZTLMM2AZHSEE · pith_short_16: ZTLMM2AZHSEEY3OG · pith_short_8: ZTLMM2AZ

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/ZTLMM2AZHSEEY3OGHAZR7UHJNH \
  | 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: ccd6c668193c884c6dc638331fd0e969ca7a6819b74c4322972e96d56be84285

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4aaa5e1f7fae554ee15b5a2672367cec4a35c634d89b0204b9068882930e5ea1",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2009-02-10T19:43:16Z",
    "title_canon_sha256": "58517e46e0a1a49ded4f1c7c47f0e7172aad4ad4f9b86f0613c525930e183c8c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0902.1729",
    "kind": "arxiv",
    "version": 4
  }
}