Pith Number

pith:226F27T7

pith:2015:226F27T76SBONOH7VCI7JJQ5F7

not attested not anchored not stored refs pending

Condition metrics in the three classical spaces

Juan G. Criado del Rey

arxiv:1501.04456 v1 · 2015-01-19 · 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{226F27T76SBONOH7VCI7JJQ5F7}

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	2026-05-18T02:29:08.953829Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d6bc5d7e7ff482e6b8ffa891f4a61d2ffd09256fbd3e615051724cbce75add36

Aliases

arxiv: 1501.04456 · arxiv_version: 1501.04456v1 · doi: 10.48550/arxiv.1501.04456 · pith_short_12: 226F27T76SBO · pith_short_16: 226F27T76SBONOH7 · pith_short_8: 226F27T7

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/226F27T76SBONOH7VCI7JJQ5F7 \
  | 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: d6bc5d7e7ff482e6b8ffa891f4a61d2ffd09256fbd3e615051724cbce75add36

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "67e65d706ff9b02cea3f2c83667adbd0a0b13f55b943627e8ae6d7748a0963e8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2015-01-19T11:25:12Z",
    "title_canon_sha256": "29e7a2a5340a57d30a76c2c0b8acb050e69e6cd2544b84de187fa4fb33ebb6aa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.04456",
    "kind": "arxiv",
    "version": 1
  }
}