Pith Number

pith:7LLL7FVS

pith:2009:7LLL7FVSEGH7ZRFNB3CR3FSKZP

not attested not anchored not stored refs pending

Ultrametric Root Counting

Ashraf Ibrahim, Martin Avendano

arxiv:0901.3393 v5 · 2009-01-22 · math.AG · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7LLL7FVSEGH7ZRFNB3CR3FSKZP}

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	2026-05-18T04:41:35.100040Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fad6bf96b2218ffcc4ad0ec51d964acbda860732059fe5dfe2c55cac81a197e0

Aliases

arxiv: 0901.3393 · arxiv_version: 0901.3393v5 · doi: 10.48550/arxiv.0901.3393 · pith_short_12: 7LLL7FVSEGH7 · pith_short_16: 7LLL7FVSEGH7ZRFN · pith_short_8: 7LLL7FVS

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/7LLL7FVSEGH7ZRFNB3CR3FSKZP \
  | 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: fad6bf96b2218ffcc4ad0ec51d964acbda860732059fe5dfe2c55cac81a197e0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f3a0b4914d72190b26c3f2b2b2d0815fb7eb0dbaed408408582e6f01ff330ed7",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2009-01-22T02:32:56Z",
    "title_canon_sha256": "472387b4a789f1d3c51f4ca32d25b666d1addc0608ddb5a2f85e4cea045f6e03"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0901.3393",
    "kind": "arxiv",
    "version": 5
  }
}