Pith Number

pith:IOJOMDHE

pith:2011:IOJOMDHESFCSFBJOSIFOGD4FBN

not attested not anchored not stored refs pending

Uniqueness and stability of saddle-shaped solutions to the Allen-Cahn equation

Xavier Cabre

arxiv:1102.3111 v1 · 2011-02-15 · 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{IOJOMDHESFCSFBJOSIFOGD4FBN}

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	2026-05-18T04:28:38.392472Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4392e60ce4914522852e920ae30f850b487ba2a02007b9af116dd8ee5d4a369b

Aliases

arxiv: 1102.3111 · arxiv_version: 1102.3111v1 · doi: 10.48550/arxiv.1102.3111 · pith_short_12: IOJOMDHESFCS · pith_short_16: IOJOMDHESFCSFBJO · pith_short_8: IOJOMDHE

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/IOJOMDHESFCSFBJOSIFOGD4FBN \
  | 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: 4392e60ce4914522852e920ae30f850b487ba2a02007b9af116dd8ee5d4a369b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "88550c2a640965e02cc44b031e5af068feb25f5522a865084eaec1490398ba15",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-02-15T15:58:19Z",
    "title_canon_sha256": "fbe2f93c26a2d1c4c92d0bb9223ec6d0ebc9bb0465fa211ac1acfcccf716730b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.3111",
    "kind": "arxiv",
    "version": 1
  }
}