Pith Number

pith:H25M6GME

pith:2019:H25M6GME7YRRW4LD4JX6CRJMP7

not attested not anchored not stored refs pending

Entropy and affine actions for surface groups

Fran\c{c}ois Labourie

arxiv:1908.00599 v3 · 2019-08-01 · math.DG · 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{H25M6GME7YRRW4LD4JX6CRJMP7}

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	2026-07-05T01:51:05.108979Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3ebacf1984fe231b7163e26fe1452c7fdb211f7a7acb5eab0564e937c777fd01

Aliases

arxiv: 1908.00599 · arxiv_version: 1908.00599v3 · doi: 10.48550/arxiv.1908.00599 · pith_short_12: H25M6GME7YRR · pith_short_16: H25M6GME7YRRW4LD · pith_short_8: H25M6GME

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/H25M6GME7YRRW4LD4JX6CRJMP7 \
  | 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: 3ebacf1984fe231b7163e26fe1452c7fdb211f7a7acb5eab0564e937c777fd01

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8bb8e19ce6c3d20e8a11d104a38503fe29a309cdf081a297109225593ba6feef",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2019-08-01T19:57:33Z",
    "title_canon_sha256": "1782b437fd4286b283d93cddf49e6484de923653bd2fac17cc09238a3b94ee4c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.00599",
    "kind": "arxiv",
    "version": 3
  }
}