Pith Number

pith:MDSYUFJ7

pith:2011:MDSYUFJ73VE2LLOWUKUWSX3VYC

not attested not anchored not stored refs pending

Time relaxation of a phase-field model with entropy balance

Manuela Girotti

arxiv:1107.3485 v1 · 2011-07-18 · 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{MDSYUFJ73VE2LLOWUKUWSX3VYC}

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	2026-05-18T04:18:03.016394Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

60e58a153fdd49a5add6a2a9695f75c0a8f24786378e661850f4db7507b1a36a

Aliases

arxiv: 1107.3485 · arxiv_version: 1107.3485v1 · doi: 10.48550/arxiv.1107.3485 · pith_short_12: MDSYUFJ73VE2 · pith_short_16: MDSYUFJ73VE2LLOW · pith_short_8: MDSYUFJ7

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/MDSYUFJ73VE2LLOWUKUWSX3VYC \
  | 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: 60e58a153fdd49a5add6a2a9695f75c0a8f24786378e661850f4db7507b1a36a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e0b851a48caebc6255f486c92cfb3af27353eeae9c9c5b730e87abead89d1c38",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-07-18T16:00:24Z",
    "title_canon_sha256": "41a590248250b0b2fce380b757a21a8efc64beab2f26e1c9e35383c0c2be341d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.3485",
    "kind": "arxiv",
    "version": 1
  }
}