Pith Number

pith:KRU426JV

pith:2011:KRU426JVA7BYALB7S3ZVWSC2K5

not attested not anchored not stored refs pending

Density estimates for compact surfaces with total boundary curvature less than 4pi

Giuseppe Tinaglia, Theodora Bourni

arxiv:1105.1972 v1 · 2011-05-10 · 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{KRU426JVA7BYALB7S3ZVWSC2K5}

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	2026-05-18T04:22:30.187450Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5469cd793507c3802c3f96f35b485a5768c8c911058c5b2d79ec9c1a60beefd4

Aliases

arxiv: 1105.1972 · arxiv_version: 1105.1972v1 · doi: 10.48550/arxiv.1105.1972 · pith_short_12: KRU426JVA7BY · pith_short_16: KRU426JVA7BYALB7 · pith_short_8: KRU426JV

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/KRU426JVA7BYALB7S3ZVWSC2K5 \
  | 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: 5469cd793507c3802c3f96f35b485a5768c8c911058c5b2d79ec9c1a60beefd4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "03b0c532eff3c6ea50397eb8bf262836eb9681563bc1b6c3f86c44dbbdb0c162",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2011-05-10T15:23:01Z",
    "title_canon_sha256": "73c7915bb5cb60125e5326d8c47a9996e8f2f9605ff369bec8934e9a2ba9ff5b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.1972",
    "kind": "arxiv",
    "version": 1
  }
}