Pith Number

pith:LQV6Z6ZR

pith:2010:LQV6Z6ZRYWDND64I5T4C6PAYH2

not attested not anchored not stored refs pending

Thurston's pullback map on the augmented Teichm\"uller space and applications

Nikita Selinger

arxiv:1010.1690 v2 · 2010-10-08 · math.DS · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LQV6Z6ZRYWDND64I5T4C6PAYH2}

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	2026-05-18T03:56:58.296217Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5c2becfb31c586d1fb88ecf82f3c183eaf661577968c4dc07c162e0f7fba5eb4

Aliases

arxiv: 1010.1690 · arxiv_version: 1010.1690v2 · doi: 10.48550/arxiv.1010.1690 · pith_short_12: LQV6Z6ZRYWDN · pith_short_16: LQV6Z6ZRYWDND64I · pith_short_8: LQV6Z6ZR

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/LQV6Z6ZRYWDND64I5T4C6PAYH2 \
  | 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: 5c2becfb31c586d1fb88ecf82f3c183eaf661577968c4dc07c162e0f7fba5eb4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ee33fe7591fd896f720386d3127be551cc02cc663583a9291a3035756156aeed",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2010-10-08T13:45:04Z",
    "title_canon_sha256": "3206c5dbddb72112ce8747102d79960541fe3f15fef32ace19120ae81686920e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.1690",
    "kind": "arxiv",
    "version": 2
  }
}