Pith Number

pith:FNNBOJ5E

pith:2013:FNNBOJ5EB54NVDVKFWTTHEBVA6

not attested not anchored not stored refs pending

On the analogy between L-functions and Atiyah-Bott-Lefschetz trace formulas for foliated spaces

Eric Leichtnam

arxiv:1307.3851 v1 · 2013-07-15 · 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{FNNBOJ5EB54NVDVKFWTTHEBVA6}

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	2026-05-18T03:18:27.673492Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2b5a1727a40f78da8eaa2da733903507aec816ff0836fb0e9cf010e500c57105

Aliases

arxiv: 1307.3851 · arxiv_version: 1307.3851v1 · doi: 10.48550/arxiv.1307.3851 · pith_short_12: FNNBOJ5EB54N · pith_short_16: FNNBOJ5EB54NVDVK · pith_short_8: FNNBOJ5E

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/FNNBOJ5EB54NVDVKFWTTHEBVA6 \
  | 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: 2b5a1727a40f78da8eaa2da733903507aec816ff0836fb0e9cf010e500c57105

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e6361c4d36537bf7ea60e4c366e7bedbe945938a4d01a16849a30025e0db8da4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-07-15T08:28:39Z",
    "title_canon_sha256": "beb6df94821e51a26487b69ee2632bfdf58963c85a1d8dc66e3e78a464a6164e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.3851",
    "kind": "arxiv",
    "version": 1
  }
}