Pith Number

pith:XTZQKPUK

pith:2014:XTZQKPUKO6AKEHAEQ75SE2UKW4

not attested not anchored not stored refs pending

On the total curvature and extrinsic area growth of surfaces with tamed second fundamental form

Cristiane M. Brandao, Vicent Gimeno

arxiv:1412.4929 v2 · 2014-12-16 · 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{XTZQKPUKO6AKEHAEQ75SE2UKW4}

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	2026-05-18T02:27:05.026206Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bcf3053e8a7780a21c0487fb226a8ab72a4d2e68cbfd5938ce0b7f4b36035e13

Aliases

arxiv: 1412.4929 · arxiv_version: 1412.4929v2 · doi: 10.48550/arxiv.1412.4929 · pith_short_12: XTZQKPUKO6AK · pith_short_16: XTZQKPUKO6AKEHAE · pith_short_8: XTZQKPUK

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/XTZQKPUKO6AKEHAEQ75SE2UKW4 \
  | 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: bcf3053e8a7780a21c0487fb226a8ab72a4d2e68cbfd5938ce0b7f4b36035e13

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "92beec8cd943c167551bf403086078fc1442b8fe4b5998899736d909d4416f2f",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/publicdomain/",
    "primary_cat": "math.DG",
    "submitted_at": "2014-12-16T09:43:21Z",
    "title_canon_sha256": "f19092d65fddb7fcbe35a73e311bae07e89cacebfd89786fda3af5a8f625dbcf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.4929",
    "kind": "arxiv",
    "version": 2
  }
}