Pith Number

pith:QNECFDE3

pith:2007:QNECFDE3CUKRIJDXHP2IA36EMY

not attested not anchored not stored refs pending

Representing Dehn twists with branched coverings

Daniele Zuddas

arxiv:0710.0102 v6 · 2007-10-01 · 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{QNECFDE3CUKRIJDXHP2IA36EMY}

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	2026-05-18T04:04:31.477622Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8348228c9b15151424773bf4806fc466108e09e0967dc099270482aab883a3b7

Aliases

arxiv: 0710.0102 · arxiv_version: 0710.0102v6 · doi: 10.48550/arxiv.0710.0102 · pith_short_12: QNECFDE3CUKR · pith_short_16: QNECFDE3CUKRIJDX · pith_short_8: QNECFDE3

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/QNECFDE3CUKRIJDXHP2IA36EMY \
  | 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: 8348228c9b15151424773bf4806fc466108e09e0967dc099270482aab883a3b7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "308ab23c2b11a2fed09f5667909a90ccf4e56cf033a623c3b0c2ede5cd657c5c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2007-10-01T16:03:07Z",
    "title_canon_sha256": "e0d3b317b152963d9a10d0820c2612e96a3b907996bcb3c4a07676fa7b3240df"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0710.0102",
    "kind": "arxiv",
    "version": 6
  }
}