Pith Number

pith:H57WDO6J

pith:2023:H57WDO6JKSFJJV26QFQA6MZHW4

not attested not anchored not stored refs pending

Entropy and stability of hyperbolic manifolds

Antoine Song

arxiv:2302.07422 v5 · 2023-02-15 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{H57WDO6JKSFJJV26QFQA6MZHW4}

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.

Cited by

1 paper in Pith

On $3$-manifolds with small mass and $L^2$-curvature

Receipt and verification

First computed	2026-07-05T12:00:41.949539Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3f7f61bbc9548a94d75e81600f3327b71df865e0ca55334ff33b414bdc63d612

Aliases

arxiv: 2302.07422 · arxiv_version: 2302.07422v5 · doi: 10.48550/arxiv.2302.07422 · pith_short_12: H57WDO6JKSFJ · pith_short_16: H57WDO6JKSFJJV26 · pith_short_8: H57WDO6J

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/H57WDO6JKSFJJV26QFQA6MZHW4 \
  | 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: 3f7f61bbc9548a94d75e81600f3327b71df865e0ca55334ff33b414bdc63d612

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6ab0c0b1c6a1def507ef42606364e89daa31282df7ace2b6fe38b37dd6de8046",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2023-02-15T01:49:20Z",
    "title_canon_sha256": "432d64069a5db2ba26cae88e6fd61fec9403c1c408157fe131e599df80add9e5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2302.07422",
    "kind": "arxiv",
    "version": 5
  }
}