Pith Number

pith:EIOBSRO6

pith:2012:EIOBSRO6EDEOWEOWQ4UCHSQH2K

not attested not anchored not stored refs pending

A vanishing diffusion limit in a nonstandard system of phase field equations

Gianni Gilardi, J\"urgen Sprekels, Pavel Krej\v{c}\'i, Pierluigi Colli

arxiv:1212.4054 v1 · 2012-12-17 · 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{EIOBSRO6EDEOWEOWQ4UCHSQH2K}

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	2026-05-18T03:38:21.633127Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

221c1945de20c8eb11d6872823ca07d2be3b1bc694d51227042ce219746eb5d7

Aliases

arxiv: 1212.4054 · arxiv_version: 1212.4054v1 · doi: 10.48550/arxiv.1212.4054 · pith_short_12: EIOBSRO6EDEO · pith_short_16: EIOBSRO6EDEOWEOW · pith_short_8: EIOBSRO6

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/EIOBSRO6EDEOWEOWQ4UCHSQH2K \
  | 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: 221c1945de20c8eb11d6872823ca07d2be3b1bc694d51227042ce219746eb5d7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f0bd2b3dab0b90cc74dbf3cf5cb49e7707600fedaf45b1a738d27cb9dd68984a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-12-17T16:26:51Z",
    "title_canon_sha256": "b678648bbf35e14b0d94887ec976997a8ab243bbd71c4adb3e98f4fff3f985bc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.4054",
    "kind": "arxiv",
    "version": 1
  }
}