Pith Number

pith:UPYP5RC2

pith:2016:UPYP5RC2QVAVV4JAPTLOJXATAT

not attested not anchored not stored refs pending

Integrability via geometry: dispersionless differential equations in three and four dimensions

Boris Kruglikov, David M. J. Calderbank

arxiv:1612.02753 v2 · 2016-12-08 · math.AP · math.DG · 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{UPYP5RC2QVAVV4JAPTLOJXATAT}

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	2026-05-17T23:56:58.922119Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a3f0fec45a85415af1207cd6e4dc1304ef2e2db7edcc879f0c97d515fd337783

Aliases

arxiv: 1612.02753 · arxiv_version: 1612.02753v2 · doi: 10.48550/arxiv.1612.02753 · pith_short_12: UPYP5RC2QVAV · pith_short_16: UPYP5RC2QVAVV4JA · pith_short_8: UPYP5RC2

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/UPYP5RC2QVAVV4JAPTLOJXATAT \
  | 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: a3f0fec45a85415af1207cd6e4dc1304ef2e2db7edcc879f0c97d515fd337783

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7c2ff22f09cacbadcfbd95b61bf781d97dfb2f228a690d2182c6bc786dd39fa3",
    "cross_cats_sorted": [
      "math.DG",
      "nlin.SI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-12-08T18:21:38Z",
    "title_canon_sha256": "c2a3ff07ad3f3cb695640612297b131644f7fb456ea5688fa7c45171a65eecc3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.02753",
    "kind": "arxiv",
    "version": 2
  }
}