Pith Number

pith:DXK7H4IS

pith:2015:DXK7H4ISDUK5Z3KF5T2GP6J2AH

not attested not anchored not stored refs pending

Generalized gradient flow structure of internal energy driven phase field systems

Elena Bonetti, Elisabetta Rocca

arxiv:1507.03818 v1 · 2015-07-14 · 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{DXK7H4ISDUK5Z3KF5T2GP6J2AH}

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	2026-05-18T01:36:57.275148Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1dd5f3f1121d15dced45ecf467f93a01e47f999f5eed7f127d315d5be35f5ded

Aliases

arxiv: 1507.03818 · arxiv_version: 1507.03818v1 · doi: 10.48550/arxiv.1507.03818 · pith_short_12: DXK7H4ISDUK5 · pith_short_16: DXK7H4ISDUK5Z3KF · pith_short_8: DXK7H4IS

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/DXK7H4ISDUK5Z3KF5T2GP6J2AH \
  | 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: 1dd5f3f1121d15dced45ecf467f93a01e47f999f5eed7f127d315d5be35f5ded

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bce908a002bd48f19a607113a58fecb6ab0fdb95eec4a91ee6d0b7341f7ebf0b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-07-14T11:36:18Z",
    "title_canon_sha256": "04a71b81c23fb8d5debd7df7222c76d5a9e1e3cf4548cbfad98c10dd25eee738"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.03818",
    "kind": "arxiv",
    "version": 1
  }
}