Pith Number

pith:WW5ZMZWZ

pith:2026:WW5ZMZWZNXIXE6OG3X3NFKWZPM

not attested not anchored not stored refs pending

Two-phase source and reaction coefficient Stefan type problems

Targyn A. Nauryz

arxiv:2607.21388 v1 · 2026-07-23 · math-ph · math.AP · math.MP · math.SP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WW5ZMZWZNXIXE6OG3X3NFKWZPM}

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	2026-07-24T01:24:29.868302Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b5bb9666d96dd17279c6ddf6d2aad97b0d52c3ed73293413fff849100e616212

Aliases

arxiv: 2607.21388 · arxiv_version: 2607.21388v1 · doi: 10.48550/arxiv.2607.21388 · pith_short_12: WW5ZMZWZNXIX · pith_short_16: WW5ZMZWZNXIXE6OG · pith_short_8: WW5ZMZWZ

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/WW5ZMZWZNXIXE6OG3X3NFKWZPM \
  | 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: b5bb9666d96dd17279c6ddf6d2aad97b0d52c3ed73293413fff849100e616212

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "85b31311538f24f2731e0c78f158a46319188a4fb4ffaab154a6a87938b05437",
    "cross_cats_sorted": [
      "math.AP",
      "math.MP",
      "math.SP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2026-07-23T14:49:39Z",
    "title_canon_sha256": "a9aa770257bd063481438090ad6f2c5185193f153b654e90deee94aa87e7fdfb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.21388",
    "kind": "arxiv",
    "version": 1
  }
}