Pith Number

pith:ZPCZERVE

pith:2013:ZPCZERVEI36XKRJXBG7KUWE3KL

not attested not anchored not stored refs pending

Semiconcave functions in Alexandrov's geometry

Anton Petrunin

arxiv:1304.0292 v2 · 2013-04-01 · 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{ZPCZERVEI36XKRJXBG7KUWE3KL}

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	2026-05-18T00:11:24.172464Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cbc59246a446fd75453709beaa589b52c9865e06b1ea798567d9558ccad486fb

Aliases

arxiv: 1304.0292 · arxiv_version: 1304.0292v2 · doi: 10.48550/arxiv.1304.0292 · pith_short_12: ZPCZERVEI36X · pith_short_16: ZPCZERVEI36XKRJX · pith_short_8: ZPCZERVE

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/ZPCZERVEI36XKRJXBG7KUWE3KL \
  | 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: cbc59246a446fd75453709beaa589b52c9865e06b1ea798567d9558ccad486fb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "811eb1eb97cda51be04a1e0120737dc1f14d28e56ca49aa4379ed51d6d82c752",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-04-01T03:56:21Z",
    "title_canon_sha256": "3de2b34cf536aa1b5b988114b5851591e1b0e1d43fd9d365a6475bc8c6a21770"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.0292",
    "kind": "arxiv",
    "version": 2
  }
}