Pith Number

pith:HUPL3VRG

pith:2009:HUPL3VRGQZUXBPRWQ3A43JCEZY

not attested not anchored not stored refs pending

Fundamental groups, Alexander invariants, and cohomology jumping loci

Alexander I. Suciu

arxiv:0910.1559 v3 · 2009-10-08 · math.GT · 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{HUPL3VRGQZUXBPRWQ3A43JCEZY}

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	2026-05-18T03:39:53.369351Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3d1ebdd626866970be3686c1cda444ce22a05ef2dc24fcbb5b41348a60f29d55

Aliases

arxiv: 0910.1559 · arxiv_version: 0910.1559v3 · doi: 10.48550/arxiv.0910.1559 · pith_short_12: HUPL3VRGQZUX · pith_short_16: HUPL3VRGQZUXBPRW · pith_short_8: HUPL3VRG

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/HUPL3VRGQZUXBPRWQ3A43JCEZY \
  | 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: 3d1ebdd626866970be3686c1cda444ce22a05ef2dc24fcbb5b41348a60f29d55

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a1495eb00467bd795fe8c0d410ffb7b0290ae33da0720b467ad0a049ff0bdea5",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2009-10-08T18:00:17Z",
    "title_canon_sha256": "a34060615e9b05fb2584cb066f9f49dfc953ee97ecada758646a3d63e0202ae6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0910.1559",
    "kind": "arxiv",
    "version": 3
  }
}