Pith Number

pith:RVGEX32Q

pith:2015:RVGEX32QU2FVSUR7ZEFXYZIJU4

not attested not anchored not stored refs pending

One-dimensional symmetry and Liouville type results for the fourth order Allen-Cahn equation in R$^N$

Denis Bonheure (MEPHYSTO), Fran\c{c}ois Hamel (I2M)

arxiv:1508.00333 v2 · 2015-08-03 · 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{RVGEX32QU2FVSUR7ZEFXYZIJU4}

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	2026-05-18T01:19:15.995239Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8d4c4bef50a68b59523fc90b7c6509a7241398db0e9ef3f71c2b78c6a0c4503a

Aliases

arxiv: 1508.00333 · arxiv_version: 1508.00333v2 · doi: 10.48550/arxiv.1508.00333 · pith_short_12: RVGEX32QU2FV · pith_short_16: RVGEX32QU2FVSUR7 · pith_short_8: RVGEX32Q

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/RVGEX32QU2FVSUR7ZEFXYZIJU4 \
  | 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: 8d4c4bef50a68b59523fc90b7c6509a7241398db0e9ef3f71c2b78c6a0c4503a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e04f004f797f77bb663a63804744de21a1a4a586ac64b78ac6851c946a5d94ff",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-08-03T07:29:50Z",
    "title_canon_sha256": "2be0e5eeb8fa8a415ff55d74d06d394f8c28b691f9c2a3060926c72d377fd180"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.00333",
    "kind": "arxiv",
    "version": 2
  }
}