Pith Number

pith:ZDZQWL7E

pith:2012:ZDZQWL7EXZOYWTXBH2JLN5CQRN

not attested not anchored not stored refs pending

Estimates of invariant distances on "convex" domains

Nikolai Nikolov

arxiv:1210.7223 v3 · 2012-10-26 · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZDZQWL7EXZOYWTXBH2JLN5CQRN}

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	2026-05-18T02:38:37.528414Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c8f30b2fe4be5d8b4ee13e92b6f4508b7a002cc42b025c52d2d8f328dc85cc25

Aliases

arxiv: 1210.7223 · arxiv_version: 1210.7223v3 · doi: 10.48550/arxiv.1210.7223 · pith_short_12: ZDZQWL7EXZOY · pith_short_16: ZDZQWL7EXZOYWTXB · pith_short_8: ZDZQWL7E

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/ZDZQWL7EXZOYWTXBH2JLN5CQRN \
  | 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: c8f30b2fe4be5d8b4ee13e92b6f4508b7a002cc42b025c52d2d8f328dc85cc25

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ddcd0df0f4caa350c164f84af5555f729a9080f6741f33a4f639ed80e75a0266",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2012-10-26T19:30:03Z",
    "title_canon_sha256": "6d80ac188b4b3ab46379c255209dac1c97b409de8f8e0a252821076f3c0e0caf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.7223",
    "kind": "arxiv",
    "version": 3
  }
}