Pith Number

pith:J36R2WKW

pith:2026:J36R2WKWSIH65HEQZ2G3PG4PFL

not attested not anchored not stored refs pending

Variational modeling adapted to the medium with gradient properties

Azdine Nait-Ali, Sami Ben Elhaj Salah

arxiv:2607.16005 v1 · 2026-07-17 · math-ph · 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{J36R2WKWSIH65HEQZ2G3PG4PFL}

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	2026-07-20T02:19:25.725699Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4efd1d5956920fee9c90ce8db79b8f2ae5ccd4182b29ed52eddf9a09c94ec607

Aliases

arxiv: 2607.16005 · arxiv_version: 2607.16005v1 · doi: 10.48550/arxiv.2607.16005 · pith_short_12: J36R2WKWSIH6 · pith_short_16: J36R2WKWSIH65HEQ · pith_short_8: J36R2WKW

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/J36R2WKWSIH65HEQZ2G3PG4PFL \
  | 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: 4efd1d5956920fee9c90ce8db79b8f2ae5ccd4182b29ed52eddf9a09c94ec607

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b2dd0dbf090578b367c292b37e446989f080c1e378d0a4dfe56328cab458c440",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2026-07-17T14:40:16Z",
    "title_canon_sha256": "c0fdb446f4495be0bbcbf86978462efbedee7de31ebccb714c2d9a6133d2e55b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.16005",
    "kind": "arxiv",
    "version": 1
  }
}