Pith Number

pith:D76ZE7F6

pith:2013:D76ZE7F62A3FETM4YTM3C7WV3A

not attested not anchored not stored refs pending

A lifting theorem for 3-isometries

Benjamin Russo, Scott McCullough

arxiv:1306.5444 v1 · 2013-06-23 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{D76ZE7F62A3FETM4YTM3C7WV3A}

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	2026-05-18T03:20:08.085849Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1ffd927cbed036524d9cc4d9b17ed5d83e4ff29213f09bfab9fa6d55b060db24

Aliases

arxiv: 1306.5444 · arxiv_version: 1306.5444v1 · doi: 10.48550/arxiv.1306.5444 · pith_short_12: D76ZE7F62A3F · pith_short_16: D76ZE7F62A3FETM4 · pith_short_8: D76ZE7F6

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/D76ZE7F62A3FETM4YTM3C7WV3A \
  | 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: 1ffd927cbed036524d9cc4d9b17ed5d83e4ff29213f09bfab9fa6d55b060db24

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eda4a5195fa43ceade5af70b189644235f0f34b38fe3d9d9c964748ea922a1c2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2013-06-23T17:37:21Z",
    "title_canon_sha256": "07c5cdb2cbd9ad2b82f3b3b89afc42fc39b8b612473f8b49bf3260426f709fbf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.5444",
    "kind": "arxiv",
    "version": 1
  }
}