Pith Number

pith:YYIBXZKL

pith:2013:YYIBXZKLMWTYLNBGJMETCRFCCG

not attested not anchored not stored refs pending

Generalized notions of symmetry of ODE's and reduction procedures

Giampaolo Cicogna

arxiv:1307.1986 v1 · 2013-07-08 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YYIBXZKLMWTYLNBGJMETCRFCCG}

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	2026-05-18T01:48:58.823564Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c6101be54b65a785b4264b093144a211ac9e22016b8c447ca636a14f541afdf4

Aliases

arxiv: 1307.1986 · arxiv_version: 1307.1986v1 · doi: 10.48550/arxiv.1307.1986 · pith_short_12: YYIBXZKLMWTY · pith_short_16: YYIBXZKLMWTYLNBG · pith_short_8: YYIBXZKL

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/YYIBXZKLMWTYLNBGJMETCRFCCG \
  | 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: c6101be54b65a785b4264b093144a211ac9e22016b8c447ca636a14f541afdf4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "67cab86d47caa201871fa18a9d14cfaaafe6c9947866b4e0923712a6f921e048",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2013-07-08T08:59:09Z",
    "title_canon_sha256": "8cbeec8f439e9b9ff2fb110849272c41b913464f7c59cf921b844ee67f11729a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.1986",
    "kind": "arxiv",
    "version": 1
  }
}