Pith Number

pith:PA67ZKUX

pith:2015:PA67ZKUXGWWVU6IKED6WNETFP5

not attested not anchored not stored refs pending

A mathematical framework for exact milestoning

David Aristoff, Juan M. Bello-Rivas, Ron Elber

arxiv:1505.02451 v3 · 2015-05-10 · math-ph · math.MP · math.NA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PA67ZKUXGWWVU6IKED6WNETFP5}

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	2026-05-18T01:25:00.564138Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

783dfcaa9735ad5a790a20fd6692657f49c7ab5bf88fd1316ad425dc75c357d8

Aliases

arxiv: 1505.02451 · arxiv_version: 1505.02451v3 · doi: 10.48550/arxiv.1505.02451 · pith_short_12: PA67ZKUXGWWV · pith_short_16: PA67ZKUXGWWVU6IK · pith_short_8: PA67ZKUX

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/PA67ZKUXGWWVU6IKED6WNETFP5 \
  | 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: 783dfcaa9735ad5a790a20fd6692657f49c7ab5bf88fd1316ad425dc75c357d8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cf5ec6e22731957db2aa98dbc87fd196670e97ec7a2baed5044f00d8d12fa98c",
    "cross_cats_sorted": [
      "math.MP",
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2015-05-10T22:44:57Z",
    "title_canon_sha256": "1cdbd128d419781b194268adefe9066eec9e7c9c9de246be499d9180fad396d8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.02451",
    "kind": "arxiv",
    "version": 3
  }
}