Pith Number

pith:QVTGFNP3

pith:2015:QVTGFNP3YZTO3RAX33LE2LHRLA

not attested not anchored not stored refs pending

Existence of weak solutions for a hyperbolic-parabolic phase field system with mixed boundary conditions on non-smooth domains

Christiane Kraus, Christian Heinemann

arxiv:1502.05856 v2 · 2015-02-20 · 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{QVTGFNP3YZTO3RAX33LE2LHRLA}

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	2026-05-18T01:04:37.874965Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

856662b5fbc666edc417ded64d2cf158398cbc8a778177feb43a3ba6e7f7ef0f

Aliases

arxiv: 1502.05856 · arxiv_version: 1502.05856v2 · doi: 10.48550/arxiv.1502.05856 · pith_short_12: QVTGFNP3YZTO · pith_short_16: QVTGFNP3YZTO3RAX · pith_short_8: QVTGFNP3

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/QVTGFNP3YZTO3RAX33LE2LHRLA \
  | 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: 856662b5fbc666edc417ded64d2cf158398cbc8a778177feb43a3ba6e7f7ef0f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4b328bab5b341ea2c2e14e1b1c44308ed7ac3ee868e7a609c8471c9f16dd677b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-02-20T12:43:13Z",
    "title_canon_sha256": "ac350abdab6eefaa020d46dc60a6fbfb8192d08a526dbdff62897029c0a6ee9b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.05856",
    "kind": "arxiv",
    "version": 2
  }
}