Pith Number

pith:JGBW2ITF

pith:2016:JGBW2ITFODKU7G4E5FL66ZH4HC

not attested not anchored not stored refs pending

On the contravariant of homogeneous forms arising from isolated hypersurface singularities

Alexander Isaev

arxiv:1608.07627 v2 · 2016-08-26 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JGBW2ITFODKU7G4E5FL66ZH4HC}

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	2026-05-18T01:03:56.527423Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

49836d226570d54f9b84e957ef64fc38b6c505454d7fe0c545b45925cc2be630

Aliases

arxiv: 1608.07627 · arxiv_version: 1608.07627v2 · doi: 10.48550/arxiv.1608.07627 · pith_short_12: JGBW2ITFODKU · pith_short_16: JGBW2ITFODKU7G4E · pith_short_8: JGBW2ITF

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/JGBW2ITFODKU7G4E5FL66ZH4HC \
  | 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: 49836d226570d54f9b84e957ef64fc38b6c505454d7fe0c545b45925cc2be630

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "27df1aa20cffd5e9e3385bff8e988127408e00625f9dca72858dafd0015be050",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-08-26T23:31:56Z",
    "title_canon_sha256": "8e047a4068a2858cd6e771e52b84890754b1e6a2952a65d0bd3522eb0a760603"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.07627",
    "kind": "arxiv",
    "version": 2
  }
}