Pith Number

pith:5VLR2JTD

pith:2007:5VLR2JTD5NVH4ZJQLUASAB55IN

not attested not anchored not stored refs pending

A Maslov cocycle for unitary groups

Katrin Tent, Linus Kramer

arxiv:0707.2281 v4 · 2007-07-16 · math.KT · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5VLR2JTD5NVH4ZJQLUASAB55IN}

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	2026-05-18T02:58:12.562819Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ed571d2663eb6a7e65305d012007bd43656db1b2db27c5a1664733a928e3c99b

Aliases

arxiv: 0707.2281 · arxiv_version: 0707.2281v4 · doi: 10.48550/arxiv.0707.2281 · pith_short_12: 5VLR2JTD5NVH · pith_short_16: 5VLR2JTD5NVH4ZJQ · pith_short_8: 5VLR2JTD

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/5VLR2JTD5NVH4ZJQLUASAB55IN \
  | 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: ed571d2663eb6a7e65305d012007bd43656db1b2db27c5a1664733a928e3c99b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8eddd4716193d01c2e5577fa8af14e160520d717a8bbdd64b2b8e29d54a36144",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2007-07-16T08:56:51Z",
    "title_canon_sha256": "b120ae7e4b15d25fc05cdf79ef24e558affa6819468827c00e90bca259229cf6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0707.2281",
    "kind": "arxiv",
    "version": 4
  }
}