Pith Number

pith:LYQOWFFJ

pith:2007:LYQOWFFJ37VXMNCTF4LZPHQ3EG

not attested not anchored not stored refs pending

Quantum characteristic classes and the Hofer metric

Yasha Savelyev

arxiv:0709.4510 v4 · 2007-09-27 · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LYQOWFFJ37VXMNCTF4LZPHQ3EG}

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	2026-05-18T02:38:19.376533Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5e20eb14a9dfeb7634532f17979e1b218b52aa9567d769ab0d1dde37e20baae3

Aliases

arxiv: 0709.4510 · arxiv_version: 0709.4510v4 · doi: 10.48550/arxiv.0709.4510 · pith_short_12: LYQOWFFJ37VX · pith_short_16: LYQOWFFJ37VXMNCT · pith_short_8: LYQOWFFJ

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/LYQOWFFJ37VXMNCTF4LZPHQ3EG \
  | 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: 5e20eb14a9dfeb7634532f17979e1b218b52aa9567d769ab0d1dde37e20baae3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "565bf6d02ce1f2e9ef3812234c0a4edec43471dc0f88d3f964a0ccff7a326aea",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2007-09-27T23:30:51Z",
    "title_canon_sha256": "eb734fd83362c167a577fad7b4af7c663daf4e0b4714b7bf6bdecfa1029f025c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0709.4510",
    "kind": "arxiv",
    "version": 4
  }
}