Pith Number

pith:SENAFCJX

pith:2007:SENAFCJXEQXBYS25GDGEG4V432

not attested not anchored not stored refs pending

Modular shadows and the Levy-Mellin infinity-adic transform

Matilde Marcolli (MPI), Northwestern), Yuri Manin (MPI

arxiv:math/0703718 v2 · 2007-03-24 · math.NT · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SENAFCJXEQXBYS25GDGEG4V432}

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	2026-05-18T04:08:52.810028Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

911a028937242e1c4b5d30cc4372bcdea90dd3b44a1e40ffacd442ef631b9069

Aliases

arxiv: math/0703718 · arxiv_version: math/0703718v2 · doi: 10.48550/arxiv.math/0703718 · pith_short_12: SENAFCJXEQXB · pith_short_16: SENAFCJXEQXBYS25 · pith_short_8: SENAFCJX

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/SENAFCJXEQXBYS25GDGEG4V432 \
  | 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: 911a028937242e1c4b5d30cc4372bcdea90dd3b44a1e40ffacd442ef631b9069

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "db833974445e72012d4525a3f01ec3c3783647a94ebe3da342567b1d627f4b7e",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "",
    "primary_cat": "math.NT",
    "submitted_at": "2007-03-24T10:21:21Z",
    "title_canon_sha256": "6e222c28dd20b3db1a509b1de8721f5179f60514878c2e424b6a98cebe06dfa6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0703718",
    "kind": "arxiv",
    "version": 2
  }
}