Pith Number

pith:PHUXLQFF

pith:2011:PHUXLQFFWPBFL2VTCK7JH5FFWW

not attested not anchored not stored refs pending

Duality of Gauss-Manin systems associated to linear free divisors

Christian Sevenheck

arxiv:1103.0906 v5 · 2011-03-04 · 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{PHUXLQFFWPBFL2VTCK7JH5FFWW}

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	2026-05-18T03:45:41.953549Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

79e975c0a5b3c255eab312be93f4a5b590e7049e5038ebf8b244b0f9c5d9795d

Aliases

arxiv: 1103.0906 · arxiv_version: 1103.0906v5 · doi: 10.48550/arxiv.1103.0906 · pith_short_12: PHUXLQFFWPBF · pith_short_16: PHUXLQFFWPBFL2VT · pith_short_8: PHUXLQFF

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/PHUXLQFFWPBFL2VTCK7JH5FFWW \
  | 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: 79e975c0a5b3c255eab312be93f4a5b590e7049e5038ebf8b244b0f9c5d9795d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "efcaf515297f9b789ec3d066df8f30ff91e727e3dc8b5f9676522dab748fb2d2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-03-04T13:47:49Z",
    "title_canon_sha256": "bc3b76a835b877109e18f89fd3f49b05fd66b67cadd369569a51bb4f8b6adccf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.0906",
    "kind": "arxiv",
    "version": 5
  }
}