Pith Number

pith:Y5H7VGEL

pith:2009:Y5H7VGELV45Z3D2MHFDYK3RNQH

not attested not anchored not stored refs pending

Classifying superpotentials: three summands case

Andrew Dancer, Mckenzie Wang

arxiv:0909.1975 v2 · 2009-09-10 · math.DG · 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{Y5H7VGELV45Z3D2MHFDYK3RNQH}

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	2026-05-18T04:32:54.607157Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c74ffa988baf3b9d8f4c3947856e2d81cff93762b3b82fbd22e949cd8a9baf40

Aliases

arxiv: 0909.1975 · arxiv_version: 0909.1975v2 · doi: 10.48550/arxiv.0909.1975 · pith_short_12: Y5H7VGELV45Z · pith_short_16: Y5H7VGELV45Z3D2M · pith_short_8: Y5H7VGEL

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/Y5H7VGELV45Z3D2MHFDYK3RNQH \
  | 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: c74ffa988baf3b9d8f4c3947856e2d81cff93762b3b82fbd22e949cd8a9baf40

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fd59d59b9731fe55a1f815551629d1b3ad391c983246b58c1ca8bb0beab18dcf",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2009-09-10T15:28:27Z",
    "title_canon_sha256": "1add64876670d9ddc56f9cbaf75d0744a2618c6e575705009bda4a3f38f40b04"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0909.1975",
    "kind": "arxiv",
    "version": 2
  }
}