Pith Number

pith:7WJ6D2EE

pith:2010:7WJ6D2EELNGYZ7LY2YLKE4CCW4

not attested not anchored not stored refs pending

Short paths for symmetric norms in the unitary group

Alejandro Varela, Gabriel Larotonda, Jorge Antezana

arxiv:1001.0263 v2 · 2010-01-01 · math.MG · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7WJ6D2EELNGYZ7LY2YLKE4CCW4}

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	2026-05-18T04:18:04.804278Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fd93e1e8845b4d8cfd78d616a27042b7293963b66b147cebcfe9d00502e88c25

Aliases

arxiv: 1001.0263 · arxiv_version: 1001.0263v2 · doi: 10.48550/arxiv.1001.0263 · pith_short_12: 7WJ6D2EELNGY · pith_short_16: 7WJ6D2EELNGYZ7LY · pith_short_8: 7WJ6D2EE

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/7WJ6D2EELNGYZ7LY2YLKE4CCW4 \
  | 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: fd93e1e8845b4d8cfd78d616a27042b7293963b66b147cebcfe9d00502e88c25

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "52ee717145479140199f3d12d2c0fc9c915d46910abd9ea623fc8c2e50dbe51c",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2010-01-01T22:26:53Z",
    "title_canon_sha256": "0553624e2d6b91944598be114f0d69becc4405d2bb5251594c0f1161a8c51fdd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1001.0263",
    "kind": "arxiv",
    "version": 2
  }
}