Pith Number

pith:WBBXPDTQ

pith:2012:WBBXPDTQSWIWTDQQNJPKEZDAIU

not attested not anchored not stored refs pending

Uniform approximation of metrics by graphs

Dmitri Burago, Sergei Ivanov

arxiv:1210.2435 v2 · 2012-10-08 · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WBBXPDTQSWIWTDQQNJPKEZDAIU}

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	2026-05-18T03:20:09.594577Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b043778e709591698e106a5ea2646045114fb8b1ac222983785c659c77882b3a

Aliases

arxiv: 1210.2435 · arxiv_version: 1210.2435v2 · doi: 10.48550/arxiv.1210.2435 · pith_short_12: WBBXPDTQSWIW · pith_short_16: WBBXPDTQSWIWTDQQ · pith_short_8: WBBXPDTQ

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/WBBXPDTQSWIWTDQQNJPKEZDAIU \
  | 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: b043778e709591698e106a5ea2646045114fb8b1ac222983785c659c77882b3a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4845c00a985e8d8c043f97b271cd38b7fcd695c8629d20819f39b0e13998d6de",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2012-10-08T22:27:52Z",
    "title_canon_sha256": "06c36ca242569f8759152bb3a40763eaada9ea54727e0901b9a7aec42e065a63"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.2435",
    "kind": "arxiv",
    "version": 2
  }
}