Pith Number

pith:MVE5G2IF

pith:2003:MVE5G2IFSWZSPKUGVGCAZ3CS6D

not attested not anchored not stored refs pending

Tight contact structures on Seifert manifolds over T^2 with one singular fibre

Paolo Ghiggini

arxiv:math/0307340 v3 · 2003-07-25 · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MVE5G2IFSWZSPKUGVGCAZ3CS6D}

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	2026-05-18T02:41:32.647447Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6549d3690595b327aa86a9840cec52f0e9d6d5b98bdad7203c1a2559b39a0940

Aliases

arxiv: math/0307340 · arxiv_version: math/0307340v3 · doi: 10.48550/arxiv.math/0307340 · pith_short_12: MVE5G2IFSWZS · pith_short_16: MVE5G2IFSWZSPKUG · pith_short_8: MVE5G2IF

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/MVE5G2IFSWZSPKUGVGCAZ3CS6D \
  | 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: 6549d3690595b327aa86a9840cec52f0e9d6d5b98bdad7203c1a2559b39a0940

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d9f19517ea890470c5c90ed78b757c82d5dae1d58755bf4b067b47d8c3869ff4",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "2003-07-25T14:49:47Z",
    "title_canon_sha256": "5e33e52826b9999a299eb7c8c9c02031af87d20f93431371dfc0777c3251cfac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0307340",
    "kind": "arxiv",
    "version": 3
  }
}