Pith Number

pith:QFUF4CSO

pith:2010:QFUF4CSOP3DDTBXEXYMMIS4J7D

not attested not anchored not stored refs pending

Automated Bifurcation Analysis for Nonlinear Elliptic Partial Difference Equations on Graphs

James W. Swift, John M. Neuberger, Nandor Sieben

arxiv:1010.2257 v1 · 2010-10-11 · math.DS · math.AP · math.GR · math.NA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QFUF4CSOP3DDTBXEXYMMIS4J7D}

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	2026-05-18T04:39:28.381716Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

81685e0a4e7ec63986e4be18c44b89f8d09772dab741d23244682e0887f3b7f4

Aliases

arxiv: 1010.2257 · arxiv_version: 1010.2257v1 · doi: 10.48550/arxiv.1010.2257 · pith_short_12: QFUF4CSOP3DD · pith_short_16: QFUF4CSOP3DDTBXE · pith_short_8: QFUF4CSO

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/QFUF4CSOP3DDTBXEXYMMIS4J7D \
  | 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: 81685e0a4e7ec63986e4be18c44b89f8d09772dab741d23244682e0887f3b7f4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "386b24980c30ab997ecb744867fdbf551bdf63804d840fc815e1190d2ea0b0b4",
    "cross_cats_sorted": [
      "math.AP",
      "math.GR",
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2010-10-11T22:53:43Z",
    "title_canon_sha256": "4badc0945ba75bddb216728d98f23d1f2363388c04223eea1b07e77dbacc7fde"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.2257",
    "kind": "arxiv",
    "version": 1
  }
}