Pith Number

pith:ND6HVJP4

pith:2017:ND6HVJP4LT62K6CD4XWMQY2NLF

not attested not anchored not stored refs pending

Schwarzian derivatives, projective structures, and the Weil-Petersson gradient flow for renormalized volume

Jeffrey Brock, Kenneth Bromberg, Martin Bridgeman

arxiv:1704.06021 v3 · 2017-04-20 · math.DG · 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{ND6HVJP4LT62K6CD4XWMQY2NLF}

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	2026-05-17T23:45:00.192170Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

68fc7aa5fc5cfda57843e5ecc8634d594ac6f45930854a704281a8218dc6fbb6

Aliases

arxiv: 1704.06021 · arxiv_version: 1704.06021v3 · doi: 10.48550/arxiv.1704.06021 · pith_short_12: ND6HVJP4LT62 · pith_short_16: ND6HVJP4LT62K6CD · pith_short_8: ND6HVJP4

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/ND6HVJP4LT62K6CD4XWMQY2NLF \
  | 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: 68fc7aa5fc5cfda57843e5ecc8634d594ac6f45930854a704281a8218dc6fbb6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "93d38ca2369618d1af19981b0a0a6d240ada6ac5ea1e6e750fb64f39e58570d8",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2017-04-20T05:56:59Z",
    "title_canon_sha256": "8dabb4c41941b56e86639a2a1318b5d96441eddef59f23e7e956585d2ae888fb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.06021",
    "kind": "arxiv",
    "version": 3
  }
}