Pith Number

pith:S6MQBJJ3

pith:2011:S6MQBJJ3PIWL3RFBPBTGDLT5PS

not attested not anchored not stored refs pending

The behaviour of Fenchel-Nielsen distance under a change of pants decomposition

Athanase Papadopoulos (IRMA, Daniele Alessandrini (MPI), Lixin Liu, MPI), Weixu Su

arxiv:1105.0202 v1 · 2011-05-01 · 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{S6MQBJJ3PIWL3RFBPBTGDLT5PS}

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	2026-05-18T00:05:09.939548Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

979900a53b7a2cbdc4a1786661ae7d7c901a15881c024d1138c9ddad09c10fcf

Aliases

arxiv: 1105.0202 · arxiv_version: 1105.0202v1 · doi: 10.48550/arxiv.1105.0202 · pith_short_12: S6MQBJJ3PIWL · pith_short_16: S6MQBJJ3PIWL3RFB · pith_short_8: S6MQBJJ3

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/S6MQBJJ3PIWL3RFBPBTGDLT5PS \
  | 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: 979900a53b7a2cbdc4a1786661ae7d7c901a15881c024d1138c9ddad09c10fcf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2f0178ba5422c3cd6c316d3dd6b802746346301589f78bc1d5c3b3f2b2d4c90d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2011-05-01T20:39:20Z",
    "title_canon_sha256": "e0253be5f1164f0fa1b5ba2fb3b2fbdf0519cd1642594320024b9545b08d5687"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.0202",
    "kind": "arxiv",
    "version": 1
  }
}