Pith Number

pith:PBCXQEXY

pith:2015:PBCXQEXYJGN2QXFNATKF4B4VYV

not attested not anchored not stored refs pending

Shadows of Teichm\"uller discs in the curve graph

Richard C. H. Webb, Robert Tang

arxiv:1510.04259 v2 · 2015-10-14 · 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{PBCXQEXYJGN2QXFNATKF4B4VYV}

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	2026-05-18T01:23:54.997896Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

78457812f8499ba85cad04d45e0795c547b6140d97ae6ca9044ab0de4c1cb756

Aliases

arxiv: 1510.04259 · arxiv_version: 1510.04259v2 · doi: 10.48550/arxiv.1510.04259 · pith_short_12: PBCXQEXYJGN2 · pith_short_16: PBCXQEXYJGN2QXFN · pith_short_8: PBCXQEXY

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/PBCXQEXYJGN2QXFNATKF4B4VYV \
  | 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: 78457812f8499ba85cad04d45e0795c547b6140d97ae6ca9044ab0de4c1cb756

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "426f6f2ef393f0169816423db8ae655f0e5c08e57e0ddd2575f32b0c37a4b3ec",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2015-10-14T19:53:54Z",
    "title_canon_sha256": "ad8427cf390c7d25ca7a124abfc8c580ed0500ae63ed52ffd67e34ca87af177f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.04259",
    "kind": "arxiv",
    "version": 2
  }
}