Pith Number

pith:TCL4A4XJ

pith:2011:TCL4A4XJTWF7O237CYVLOHSYGY

not attested not anchored not stored refs pending

The Gardner method for symmetries

Alexander G. Rasin, Jeremy Schiff

arxiv:1102.2591 v5 · 2011-02-13 · nlin.SI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TCL4A4XJTWF7O237CYVLOHSYGY}

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	2026-05-18T02:03:11.627692Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9897c072e99d8bf76b7f162ab71e583621709d36c33f4a1e489da15869b16b2e

Aliases

arxiv: 1102.2591 · arxiv_version: 1102.2591v5 · doi: 10.48550/arxiv.1102.2591 · pith_short_12: TCL4A4XJTWF7 · pith_short_16: TCL4A4XJTWF7O237 · pith_short_8: TCL4A4XJ

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/TCL4A4XJTWF7O237CYVLOHSYGY \
  | 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: 9897c072e99d8bf76b7f162ab71e583621709d36c33f4a1e489da15869b16b2e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b7ccafef4c1a6eff4e5c5df6932f1d3c25a5122999dd0e66ce71fe4568f85fee",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.SI",
    "submitted_at": "2011-02-13T13:56:08Z",
    "title_canon_sha256": "2831b9fdd2d7cd76199e09c9e7195e9a43d2799487dd9040008d752007f302b5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.2591",
    "kind": "arxiv",
    "version": 5
  }
}