Pith Number

pith:2PSRVKE2

pith:2011:2PSRVKE2K7PG6SGL4UGYMIHAEW

not attested not anchored not stored refs pending

Geometric Approaches for Generating Prolongations for Nonlinear Partial Differential Equations

Paul Bracken

arxiv:1110.5655 v2 · 2011-10-25 · 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{2PSRVKE2K7PG6SGL4UGYMIHAEW}

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	2026-05-18T02:50:01.107836Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d3e51aa89a57de6f48cbe50d8620e025a1638ed920a82f3063f1e958cbf86682

Aliases

arxiv: 1110.5655 · arxiv_version: 1110.5655v2 · doi: 10.48550/arxiv.1110.5655 · pith_short_12: 2PSRVKE2K7PG · pith_short_16: 2PSRVKE2K7PG6SGL · pith_short_8: 2PSRVKE2

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/2PSRVKE2K7PG6SGL4UGYMIHAEW \
  | 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: d3e51aa89a57de6f48cbe50d8620e025a1638ed920a82f3063f1e958cbf86682

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f2b4ab4227a490b9949c398f2ee4e65418acda0d8876de8f84ff865d38d00221",
    "cross_cats_sorted": [
      "math.DG",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-10-25T20:16:54Z",
    "title_canon_sha256": "6a22d9f42827755d55a73a5192517ca98ee8372d1895bd943347e61e34651aee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.5655",
    "kind": "arxiv",
    "version": 2
  }
}