Pith Number

pith:PGKQB3BF

pith:2016:PGKQB3BF2RNRJTOICLEHFHB5HG

not attested not anchored not stored refs pending

Reductions of Gauss-Codazzi equations

A. Michel Grundland (CRM, Robert Conte (ENS Cachan, Universit\'e de Montr\'eal), Universit\'e Paris-Saclay)

arxiv:1601.04300 v1 · 2016-01-17 · 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{PGKQB3BF2RNRJTOICLEHFHB5HG}

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	2026-05-18T00:33:00.211542Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

799500ec25d45b14cdc812c8729c3d39b9e0f2ed71e370f85499937ee4198337

Aliases

arxiv: 1601.04300 · arxiv_version: 1601.04300v1 · doi: 10.48550/arxiv.1601.04300 · pith_short_12: PGKQB3BF2RNR · pith_short_16: PGKQB3BF2RNRJTOI · pith_short_8: PGKQB3BF

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/PGKQB3BF2RNRJTOICLEHFHB5HG \
  | 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: 799500ec25d45b14cdc812c8729c3d39b9e0f2ed71e370f85499937ee4198337

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c61434183916ad73087b2fc7ddc06bf2768eca6b5627899c7735ee1ed425fc2d",
    "cross_cats_sorted": [
      "nlin.SI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2016-01-17T14:21:15Z",
    "title_canon_sha256": "f4e83ecd423e02d9fdadf9bab90f662486e87a19f3537db1d1eeaa73a23621f3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.04300",
    "kind": "arxiv",
    "version": 1
  }
}