Pith Number

pith:RGDIXWLZ

pith:2007:RGDIXWLZQ7V4F5T4HLKZ4BQIP4

not attested not anchored not stored refs pending

Transition Layer for the Heterogeneous Allen-Cahn Equation

Andrea Malchiodi, Fethi Mahmoudi, Juncheng Wei

arxiv:math/0702878 v1 · 2007-02-28 · 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{RGDIXWLZQ7V4F5T4HLKZ4BQIP4}

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	2026-05-18T01:38:23.285203Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

89868bd97987ebc2f67c3ad59e06087f37766fced7fdb7f9ab8186f3b9f6331b

Aliases

arxiv: math/0702878 · arxiv_version: math/0702878v1 · doi: 10.48550/arxiv.math/0702878 · pith_short_12: RGDIXWLZQ7V4 · pith_short_16: RGDIXWLZQ7V4F5T4 · pith_short_8: RGDIXWLZ

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/RGDIXWLZQ7V4F5T4HLKZ4BQIP4 \
  | 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: 89868bd97987ebc2f67c3ad59e06087f37766fced7fdb7f9ab8186f3b9f6331b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e84f069861ca636624b580dfdc5e918f91f713ff8a46f3c454dd4052c419d4e5",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AP",
    "submitted_at": "2007-02-28T13:31:59Z",
    "title_canon_sha256": "ba3deb7cf1758b3249c8267fa596ac193937d4b644006fbb5b67fbb63646ac4f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0702878",
    "kind": "arxiv",
    "version": 1
  }
}