Pith Number

pith:QX2UAOEW

pith:2010:QX2UAOEWCXNE3NBJBXUHBT7QFM

not attested not anchored not stored refs pending

Generic points on exponential curves

Amador Martin-Pizarro, Ayhan Gunaydin

arxiv:1003.4948 v4 · 2010-03-25 · 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{QX2UAOEWCXNE3NBJBXUHBT7QFM}

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	2026-05-18T04:32:00.701168Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

85f540389615da4db4290de870cff02b11e7068b9bf62775b8cab6ef4b873552

Aliases

arxiv: 1003.4948 · arxiv_version: 1003.4948v4 · doi: 10.48550/arxiv.1003.4948 · pith_short_12: QX2UAOEWCXNE · pith_short_16: QX2UAOEWCXNE3NBJ · pith_short_8: QX2UAOEW

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/QX2UAOEWCXNE3NBJBXUHBT7QFM \
  | 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: 85f540389615da4db4290de870cff02b11e7068b9bf62775b8cab6ef4b873552

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f7a0d898b98b0d502b56f5d95a9633b86476c34b360734a143d5388f3a808977",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2010-03-25T16:32:55Z",
    "title_canon_sha256": "1d31d9b836ef3e50f16b7f7124cfcac059513d3e965827d4c3030b7d664bb885"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1003.4948",
    "kind": "arxiv",
    "version": 4
  }
}