Pith Number

pith:6MDLFURZ

pith:2004:6MDLFURZQBUDPNGGNKT7ZZQJTF

not attested not anchored not stored refs pending

Non-differentiable variational principles

Jacky Cresson

arxiv:math/0410377 v1 · 2004-10-17 · math.GM · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6MDLFURZQBUDPNGGNKT7ZZQJTF}

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	2026-05-18T01:38:27.087889Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f306b2d239806837b4c66aa7fce609994da5bd5afac6346d77678130d0fdb8a1

Aliases

arxiv: math/0410377 · arxiv_version: math/0410377v1 · doi: 10.48550/arxiv.math/0410377 · pith_short_12: 6MDLFURZQBUD · pith_short_16: 6MDLFURZQBUDPNGG · pith_short_8: 6MDLFURZ

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/6MDLFURZQBUDPNGGNKT7ZZQJTF \
  | 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: f306b2d239806837b4c66aa7fce609994da5bd5afac6346d77678130d0fdb8a1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "25447678d5f86ec22dd3453f8740466fdbdfee8e3f5defa825f54c4bdabdc560",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "",
    "primary_cat": "math.GM",
    "submitted_at": "2004-10-17T20:41:01Z",
    "title_canon_sha256": "b0b420077c5dcf71bd43b20ebae2e5dda1b52be51534cffe1bec2ed792666f7c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0410377",
    "kind": "arxiv",
    "version": 1
  }
}