Pith Number

pith:ZGPG7OVO

pith:2025:ZGPG7OVO7PV3LUSUWMNTDW736Q

not attested not anchored not stored refs pending

On the solution of the harmonic-divgrad PDEs system

Federico Manzoni

arxiv:2501.07506 v1 · 2025-01-13 · math-ph · hep-th · math.AP · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZGPG7OVO7PV3LUSUWMNTDW736Q}

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	2026-07-05T10:00:29.494248Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c99e6fbaaefbebb5d254b31b31dbfbf4332c5d247f52b08d907c2446bbf84401

Aliases

arxiv: 2501.07506 · arxiv_version: 2501.07506v1 · doi: 10.48550/arxiv.2501.07506 · pith_short_12: ZGPG7OVO7PV3 · pith_short_16: ZGPG7OVO7PV3LUSU · pith_short_8: ZGPG7OVO

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/ZGPG7OVO7PV3LUSUWMNTDW736Q \
  | 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: c99e6fbaaefbebb5d254b31b31dbfbf4332c5d247f52b08d907c2446bbf84401

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2a418e7350544df855c663fec0a0deb028df902d29dcb79660b698f2d7878ea2",
    "cross_cats_sorted": [
      "hep-th",
      "math.AP",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2025-01-13T17:24:18Z",
    "title_canon_sha256": "b8ea8b73aff6cafc1bba58bdb906cc057be7411de8d01901e36063e44edf07ed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.07506",
    "kind": "arxiv",
    "version": 1
  }
}