Pith Number

pith:TCHRL5TL

pith:2017:TCHRL5TLR636RPQ4VPOWOOC4BQ

not attested not anchored not stored refs pending

Ancient multiple-layer solutions to the Allen-Cahn equation

Konstantinos T. Gkikas, Manuel del Pino

arxiv:1703.08796 v1 · 2017-03-26 · 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{TCHRL5TLR636RPQ4VPOWOOC4BQ}

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	2026-05-18T00:47:55.529432Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

988f15f66b8fb7e8be1cabdd67385c0c3dc96bd35f1ba2a760ac715790f0dfd5

Aliases

arxiv: 1703.08796 · arxiv_version: 1703.08796v1 · doi: 10.48550/arxiv.1703.08796 · pith_short_12: TCHRL5TLR636 · pith_short_16: TCHRL5TLR636RPQ4 · pith_short_8: TCHRL5TL

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/TCHRL5TLR636RPQ4VPOWOOC4BQ \
  | 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: 988f15f66b8fb7e8be1cabdd67385c0c3dc96bd35f1ba2a760ac715790f0dfd5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "131b2894bf5cde182d735878e4bd875e320b089b175158271316fa7f1f9f0a95",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-03-26T09:42:17Z",
    "title_canon_sha256": "a5005979608e2db2fe0b3c15377bb97b65d7e3a2d6df4a55aa8d1f44741a4681"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.08796",
    "kind": "arxiv",
    "version": 1
  }
}