Pith Number

pith:DMO62BFQ

pith:2015:DMO62BFQEBB7KEMHLH4ITLDNQN

not attested not anchored not stored refs pending

Curvature on the integers, I

Alexandru Buium, Malik Barrett

arxiv:1512.02525 v1 · 2015-12-08 · 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{DMO62BFQEBB7KEMHLH4ITLDNQN}

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	2026-05-18T01:24:44.492113Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1b1ded04b02043f5118759f889ac6d835640c130e47be3fabdb9d048c1a6bef7

Aliases

arxiv: 1512.02525 · arxiv_version: 1512.02525v1 · doi: 10.48550/arxiv.1512.02525 · pith_short_12: DMO62BFQEBB7 · pith_short_16: DMO62BFQEBB7KEMH · pith_short_8: DMO62BFQ

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/DMO62BFQEBB7KEMHLH4ITLDNQN \
  | 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: 1b1ded04b02043f5118759f889ac6d835640c130e47be3fabdb9d048c1a6bef7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "515bd151d2108357a5b913ec70a3fcca252ffa23f2c9859f473088273a4e2195",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-12-08T16:25:33Z",
    "title_canon_sha256": "0ea89122005878d66f4016c00e58e1fc1ef7943e7c84302cb5ee9092f8b1ed51"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.02525",
    "kind": "arxiv",
    "version": 1
  }
}