Pith Number

pith:PEXE5RR7

pith:2015:PEXE5RR7ICLOTMF2XFYPPYE2CK

not attested not anchored not stored refs pending

Covariant un-reduction for curve matching

Alexis Arnaudon, Darryl D. Holm, Marco Castrillon Lopez

arxiv:1508.05325 v1 · 2015-08-21 · math.DG · 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{PEXE5RR7ICLOTMF2XFYPPYE2CK}

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	2026-05-18T01:34:56.118778Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

792e4ec63f4096e9b0bab970f7e09a1283b963ddf897529f82c2ff758faea878

Aliases

arxiv: 1508.05325 · arxiv_version: 1508.05325v1 · doi: 10.48550/arxiv.1508.05325 · pith_short_12: PEXE5RR7ICLO · pith_short_16: PEXE5RR7ICLOTMF2 · pith_short_8: PEXE5RR7

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/PEXE5RR7ICLOTMF2XFYPPYE2CK \
  | 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: 792e4ec63f4096e9b0bab970f7e09a1283b963ddf897529f82c2ff758faea878

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dee712f37f74be98a472fbcc8838f9e61e40b745a8051a75c34595089fcbb7db",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2015-08-21T16:15:55Z",
    "title_canon_sha256": "8e7b1c8c6054f143545d1207f324ba41feaea8811ac0146dfa7b396d1096a1cc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.05325",
    "kind": "arxiv",
    "version": 1
  }
}