Pith Number

pith:AGPTFKPW

pith:2024:AGPTFKPWQYTIOHZ5RUC6FANILY

not attested not anchored not stored refs pending

The many faces of a logarithmic scheme

Dhruv Ranganathan, Thibault Poiret

arxiv:2412.12078 v1 · 2024-12-16 · 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{AGPTFKPWQYTIOHZ5RUC6FANILY}

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	2026-07-05T09:49:56.274050Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

019f32a9f68626871f3d8d05e281a85e1434cabf8fd3ba87611bc5205b883af8

Aliases

arxiv: 2412.12078 · arxiv_version: 2412.12078v1 · doi: 10.48550/arxiv.2412.12078 · pith_short_12: AGPTFKPWQYTI · pith_short_16: AGPTFKPWQYTIOHZ5 · pith_short_8: AGPTFKPW

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/AGPTFKPWQYTIOHZ5RUC6FANILY \
  | 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: 019f32a9f68626871f3d8d05e281a85e1434cabf8fd3ba87611bc5205b883af8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b3f2f1756a0f9d1053895526ce764ad1f281d2fcf1ca804f9de33e0f686209c7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2024-12-16T18:47:33Z",
    "title_canon_sha256": "53c648a757a89464e4aa53a96c3a7c5101b0f083ef3cda0b195ec42f633e7687"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.12078",
    "kind": "arxiv",
    "version": 1
  }
}