Pith Number

pith:4F6GDBTF

pith:1997:4F6GDBTF6EVHON2ZWWYQXL5LLY

not attested not anchored not stored refs pending

Generic Hypersurface Singularities

A. Hirschowitz, J. Alexander

arxiv:alg-geom/9703029 v1 · 1997-03-21 · alg-geom · 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{4F6GDBTF6EVHON2ZWWYQXL5LLY}

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	2026-07-04T15:08:08.270852Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e17c618665f12a773759b5b10bafab5e11e5a748be52718da2d9a27c4379d138

Aliases

arxiv: alg-geom/9703029 · arxiv_version: alg-geom/9703029v1 · doi: 10.48550/arxiv.alg-geom/9703029 · pith_short_12: 4F6GDBTF6EVH · pith_short_16: 4F6GDBTF6EVHON2Z · pith_short_8: 4F6GDBTF

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/4F6GDBTF6EVHON2ZWWYQXL5LLY \
  | 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: e17c618665f12a773759b5b10bafab5e11e5a748be52718da2d9a27c4379d138

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "67a0c716566651235bc3bab80c1ac43ec4d36cdabf6b83f249b72b85cd10b1d9",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "",
    "primary_cat": "alg-geom",
    "submitted_at": "1997-03-21T17:28:05Z",
    "title_canon_sha256": "f264920422aff0fddbbd71abe634e03a5f399bf7dae0fa96175596337f8f61be"
  },
  "schema_version": "1.0",
  "source": {
    "id": "alg-geom/9703029",
    "kind": "arxiv",
    "version": 1
  }
}