Pith Number

pith:7QRWF5W6

pith:2010:7QRWF5W6FW6L2A5CDZ6MOU6DBI

not attested not anchored not stored refs pending

Bounded combinatorics and the Lipschitz metric on Teichm\"uller space

Anna Lenzhen, Jing Tao, Kasra Rafi

arxiv:1011.6078 v2 · 2010-11-28 · 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{7QRWF5W6FW6L2A5CDZ6MOU6DBI}

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	2026-05-18T04:13:07.053596Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fc2362f6de2dbcbd03a21e7cc753c30a051a6418e2293ae64a4bd04e365bfdf2

Aliases

arxiv: 1011.6078 · arxiv_version: 1011.6078v2 · doi: 10.48550/arxiv.1011.6078 · pith_short_12: 7QRWF5W6FW6L · pith_short_16: 7QRWF5W6FW6L2A5C · pith_short_8: 7QRWF5W6

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/7QRWF5W6FW6L2A5CDZ6MOU6DBI \
  | 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: fc2362f6de2dbcbd03a21e7cc753c30a051a6418e2293ae64a4bd04e365bfdf2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "480c76c963e5977531bcd9702438ea4e1b82f5cfd476eebf0008f6ea9148305f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2010-11-28T20:03:29Z",
    "title_canon_sha256": "65b11e50e29a55ca98cc89e797ea92ea1113d3c4627604073bc43fc6e42e0341"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.6078",
    "kind": "arxiv",
    "version": 2
  }
}