Pith Number

pith:E2ANWTEW

pith:2014:E2ANWTEWNNJWA33NAODIG5VKAC

not attested not anchored not stored refs pending

Optimal energy growth lower bounds for a class of solutions to the vectorial Allen-Cahn equation

Christos Sourdis

arxiv:1402.3844 v2 · 2014-02-16 · 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{E2ANWTEWNNJWA33NAODIG5VKAC}

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	2026-05-18T02:58:44.801390Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2680db4c966b53606f6d03868376aa008c7e6320711d3d8fb63d72e6f77d0e6c

Aliases

arxiv: 1402.3844 · arxiv_version: 1402.3844v2 · doi: 10.48550/arxiv.1402.3844 · pith_short_12: E2ANWTEWNNJW · pith_short_16: E2ANWTEWNNJWA33N · pith_short_8: E2ANWTEW

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/E2ANWTEWNNJWA33NAODIG5VKAC \
  | 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: 2680db4c966b53606f6d03868376aa008c7e6320711d3d8fb63d72e6f77d0e6c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e7eec816bf707f9c4e57dcc3d56c5e81ec791cf1fefefde3e8b981e272ce10a7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-02-16T21:46:08Z",
    "title_canon_sha256": "e99b3a36afede6b4eb0853aacc71ba0c3879be288c00a3ec891f0fb1309e703f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1402.3844",
    "kind": "arxiv",
    "version": 2
  }
}