Pith Number

pith:MUPFBDCU

pith:2013:MUPFBDCU7PID774JEOEQLWFBAC

not attested not anchored not stored refs pending

Secant Zeta Functions

Francis Rodrigue, Mathew Rogers, Matilde Lal\'in

arxiv:1304.3922 v2 · 2013-04-14 · 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{MUPFBDCU7PID774JEOEQLWFBAC}

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	2026-05-18T03:19:25.573813Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

651e508c54fbd03fff89238905d8a100a010f581e99c664b797be28b491599d0

Aliases

arxiv: 1304.3922 · arxiv_version: 1304.3922v2 · doi: 10.48550/arxiv.1304.3922 · pith_short_12: MUPFBDCU7PID · pith_short_16: MUPFBDCU7PID774J · pith_short_8: MUPFBDCU

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/MUPFBDCU7PID774JEOEQLWFBAC \
  | 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: 651e508c54fbd03fff89238905d8a100a010f581e99c664b797be28b491599d0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fd27993af62564ad8e87211257073c8269faa8bc577a7a4c6addcda2e1f1c69e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-04-14T16:28:33Z",
    "title_canon_sha256": "17cf6366cc6ad5b38cfd9dd3aefb15bb59aebcd5ad59cf4c54b4d0e39b2a21c6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.3922",
    "kind": "arxiv",
    "version": 2
  }
}