Pith Number

pith:CMO4NFNF

pith:2018:CMO4NFNFCUOXEJIJKWPHWZ3UPJ

not attested not anchored not stored refs pending

Allen-Cahn equation with strong irreversibility

Goro Akagi, Messoud Efendiev

arxiv:1801.09450 v1 · 2018-01-29 · 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{CMO4NFNFCUOXEJIJKWPHWZ3UPJ}

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	2026-05-18T00:24:57.432415Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

131dc695a5151d722509559e7b67747a42e8c5f3d2c3e4d7d4d6c88c29d32f3d

Aliases

arxiv: 1801.09450 · arxiv_version: 1801.09450v1 · doi: 10.48550/arxiv.1801.09450 · pith_short_12: CMO4NFNFCUOX · pith_short_16: CMO4NFNFCUOXEJIJ · pith_short_8: CMO4NFNF

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/CMO4NFNFCUOXEJIJKWPHWZ3UPJ \
  | 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: 131dc695a5151d722509559e7b67747a42e8c5f3d2c3e4d7d4d6c88c29d32f3d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0e02a6a38d978d6dc60d8736094526b2b46cbc8dec2645a396b5cefedf30b05e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-01-29T11:15:32Z",
    "title_canon_sha256": "cb774333220c2d6194be7d8604d2ba6a088a074565355fbd3eda9fe903874ff4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.09450",
    "kind": "arxiv",
    "version": 1
  }
}