Pith Number

pith:SAZMDYVX

pith:2016:SAZMDYVXSSCLJPSJJP77FXH7Z7

not attested not anchored not stored refs pending

Helicity is the only integral invariant of volume-preserving transformations

Alberto Enciso, Daniel Peralta-Salas, Francisco Torres de Lizaur

arxiv:1602.04745 v1 · 2016-02-15 · math.DS · math-ph · math.DG · 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{SAZMDYVXSSCLJPSJJP77FXH7Z7}

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	2026-05-18T01:20:49.285675Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9032c1e2b79484b4be494bfff2dcffcfc88c4233a65f0142ec587b36e8b27c5b

Aliases

arxiv: 1602.04745 · arxiv_version: 1602.04745v1 · doi: 10.48550/arxiv.1602.04745 · pith_short_12: SAZMDYVXSSCL · pith_short_16: SAZMDYVXSSCLJPSJ · pith_short_8: SAZMDYVX

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/SAZMDYVXSSCLJPSJJP77FXH7Z7 \
  | 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: 9032c1e2b79484b4be494bfff2dcffcfc88c4233a65f0142ec587b36e8b27c5b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "524f4daf0866eeb89ac9ca037d8f57c20074719c51a639e5e622362f0995594d",
    "cross_cats_sorted": [
      "math-ph",
      "math.DG",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2016-02-15T17:54:03Z",
    "title_canon_sha256": "e2d72ac5d53b1318c93203d7bbaf5ed4407cfc5e77f7e72b3de5a8603d0c7e7b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.04745",
    "kind": "arxiv",
    "version": 1
  }
}