Pith Number

pith:DBFXMUU6

pith:2015:DBFXMUU6UQKVH3BMOPD6ZDWIQU

not attested not anchored not stored refs pending

Circle averages and disjointness in typical flat surfaces on every Teichmueller disc

Jon Chaika, Pascal Hubert

arxiv:1510.05955 v2 · 2015-10-20 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DBFXMUU6UQKVH3BMOPD6ZDWIQU}

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	2026-05-18T00:40:33.821651Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

184b76529ea41553ec2c73c7ec8ec8850145af278c8966e3b54f8fa311cedd06

Aliases

arxiv: 1510.05955 · arxiv_version: 1510.05955v2 · doi: 10.48550/arxiv.1510.05955 · pith_short_12: DBFXMUU6UQKV · pith_short_16: DBFXMUU6UQKVH3BM · pith_short_8: DBFXMUU6

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/DBFXMUU6UQKVH3BMOPD6ZDWIQU \
  | 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: 184b76529ea41553ec2c73c7ec8ec8850145af278c8966e3b54f8fa311cedd06

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "14b5a01b1508fe1cbea9df6602f85693f482db329bbc1cd1e3daf4ae73a20561",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2015-10-20T16:43:37Z",
    "title_canon_sha256": "6b2f6eb4c7da565f18fc0fad1df77605683f1592f6e47b4813ef41b157ca9c8f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.05955",
    "kind": "arxiv",
    "version": 2
  }
}