Pith Number

pith:KOXFUYVN

pith:2013:KOXFUYVNDUIHHR5U6MWZTRIHZ3

not attested not anchored not stored refs pending

Bifurcation of Solutions to the Allen-Cahn Equation

Graham Smith

arxiv:1311.2307 v1 · 2013-11-10 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KOXFUYVNDUIHHR5U6MWZTRIHZ3}

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	2026-05-18T00:44:29.351506Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

53ae5a62ad1d1073c7b4f32d99c507cefcdcb5eb1e81c989fdf4c689cfe6415c

Aliases

arxiv: 1311.2307 · arxiv_version: 1311.2307v1 · doi: 10.48550/arxiv.1311.2307 · pith_short_12: KOXFUYVNDUIH · pith_short_16: KOXFUYVNDUIHHR5U · pith_short_8: KOXFUYVN

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/KOXFUYVNDUIHHR5U6MWZTRIHZ3 \
  | 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: 53ae5a62ad1d1073c7b4f32d99c507cefcdcb5eb1e81c989fdf4c689cfe6415c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7da529ea6b85119e2dcb9b19ff8b5396543589e0151aaf2f81668fe5501b7931",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-11-10T21:29:35Z",
    "title_canon_sha256": "e33efc6c66971cb49492cb3889bcf684811d0866f976b492d74fec89ec1b019c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.2307",
    "kind": "arxiv",
    "version": 1
  }
}