Pith Number

pith:VKDTBM3R

pith:2016:VKDTBM3RY7MM76PQEO2VB275IL

not attested not anchored not stored refs pending

The Gibbons--Tsarev equation: symmetries, invariant solutions, and applications

Aleksandra Lelito, Oleg I. Morozov

arxiv:1602.02048 v1 · 2016-02-05 · 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{VKDTBM3RY7MM76PQEO2VB275IL}

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	2026-05-18T01:21:14.674129Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aa8730b371c7d8cff9f023b550ebfd42eb1f883363ed07339451f2d153849769

Aliases

arxiv: 1602.02048 · arxiv_version: 1602.02048v1 · doi: 10.48550/arxiv.1602.02048 · pith_short_12: VKDTBM3RY7MM · pith_short_16: VKDTBM3RY7MM76PQ · pith_short_8: VKDTBM3R

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/VKDTBM3RY7MM76PQEO2VB275IL \
  | 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: aa8730b371c7d8cff9f023b550ebfd42eb1f883363ed07339451f2d153849769

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5f578ee79268e63baaeaa2d94650b423f398164dc2984e5eb2efb90aa11e24fe",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.SI",
    "submitted_at": "2016-02-05T14:59:03Z",
    "title_canon_sha256": "05b3ed9a8c0d1bea23724a8a4dee812476fd5c2db153b24cdeb394326994e96e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.02048",
    "kind": "arxiv",
    "version": 1
  }
}