Pith Number

pith:PPOSGHGN

pith:2013:PPOSGHGN676H3OBJTKGM76KFAN

not attested not anchored not stored refs pending

Multiplicity of layered solutions for Allen-Cahn systems with symmetric double well potential

Francesca G. Alessio, Piero Montecchiari

arxiv:1309.3104 v1 · 2013-09-12 · 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{PPOSGHGN676H3OBJTKGM76KFAN}

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	2026-05-18T03:13:32.830780Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7bdd231ccdf7fc7db8299a8ccff945035baaad0834ce8f29430f79ebf421ed8c

Aliases

arxiv: 1309.3104 · arxiv_version: 1309.3104v1 · doi: 10.48550/arxiv.1309.3104 · pith_short_12: PPOSGHGN676H · pith_short_16: PPOSGHGN676H3OBJ · pith_short_8: PPOSGHGN

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/PPOSGHGN676H3OBJTKGM76KFAN \
  | 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: 7bdd231ccdf7fc7db8299a8ccff945035baaad0834ce8f29430f79ebf421ed8c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c7ed4c50c2f6c4bc3721ec00cdc0506cb37e995f7e662fc2445c58e76270a413",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-09-12T10:40:24Z",
    "title_canon_sha256": "24b3514d4029e9f7079d7494f1f58cb54bd214545766f1894c571f7a5ee42232"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.3104",
    "kind": "arxiv",
    "version": 1
  }
}