Pith Number

pith:5YB2LG6U

pith:2011:5YB2LG6UHHKR26342FBUQV2K5J

not attested not anchored not stored refs pending

On the classification of mapping class actions on Thurston's asymmetric metric

Athanase Papadopoulos (IRMA), Guillaume Th\'eret (IMB), Lixin Liu, Weixu Su (IRMA)

arxiv:1110.3601 v1 · 2011-10-17 · 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{5YB2LG6UHHKR26342FBUQV2K5J}

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	2026-05-18T04:10:48.837117Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ee03a59bd439d51d7b7cd14348574aea52ff66cf3e2706ec9e5ec2dc19955e5d

Aliases

arxiv: 1110.3601 · arxiv_version: 1110.3601v1 · doi: 10.48550/arxiv.1110.3601 · pith_short_12: 5YB2LG6UHHKR · pith_short_16: 5YB2LG6UHHKR2634 · pith_short_8: 5YB2LG6U

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/5YB2LG6UHHKR26342FBUQV2K5J \
  | 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: ee03a59bd439d51d7b7cd14348574aea52ff66cf3e2706ec9e5ec2dc19955e5d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c0a3d1514be3efe320686135441c6eccbb29eda452eaf9f98999c6559066ff75",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2011-10-17T08:31:11Z",
    "title_canon_sha256": "ce3d98b29543af7dc87a7d1c677f276af55fc5cfecb6562a84a62517c91548ce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.3601",
    "kind": "arxiv",
    "version": 1
  }
}