Pith Number

pith:OF5DHORK

pith:2013:OF5DHORKPAMAC47HECRJBI2FDT

not attested not anchored not stored refs pending

"Nice" Rational Functions

Allan J. MacLeod

arxiv:1312.1793 v1 · 2013-12-06 · 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{OF5DHORKPAMAC47HECRJBI2FDT}

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	2026-05-18T03:05:19.756135Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

717a33ba2a78180173e720a290a3451cf6052e23f7f05b83e510a39b68d4620b

Aliases

arxiv: 1312.1793 · arxiv_version: 1312.1793v1 · doi: 10.48550/arxiv.1312.1793 · pith_short_12: OF5DHORKPAMA · pith_short_16: OF5DHORKPAMAC47H · pith_short_8: OF5DHORK

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/OF5DHORKPAMAC47HECRJBI2FDT \
  | 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: 717a33ba2a78180173e720a290a3451cf6052e23f7f05b83e510a39b68d4620b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c7b23e0d75b7ff56d3543bc3bcdc4f0426c7150649e8200ced57056390a8d989",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-12-06T07:48:15Z",
    "title_canon_sha256": "7c3b1a6b968fcbcc7767c6d60bfe339884f97af55b591d72f755c8bf8727eae8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.1793",
    "kind": "arxiv",
    "version": 1
  }
}