Pith Number

pith:UBQHOQ4N

pith:2008:UBQHOQ4NRGKWANJYCID4Z44S3Q

not attested not anchored not stored refs pending

Reconstructing quasimorphisms from associated partial orders and a question of Polterovich

Gabi Ben Simon, Tobias Hartnick

arxiv:0811.2608 v4 · 2008-11-17 · math.GR · 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{UBQHOQ4NRGKWANJYCID4Z44S3Q}

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	2026-05-18T04:39:50.499574Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a06077438d89956035381207ccf392dc28172a23fd74e6ebb643ab1a34e3df1b

Aliases

arxiv: 0811.2608 · arxiv_version: 0811.2608v4 · doi: 10.48550/arxiv.0811.2608 · pith_short_12: UBQHOQ4NRGKW · pith_short_16: UBQHOQ4NRGKWANJY · pith_short_8: UBQHOQ4N

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/UBQHOQ4NRGKWANJYCID4Z44S3Q \
  | 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: a06077438d89956035381207ccf392dc28172a23fd74e6ebb643ab1a34e3df1b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "29c8e5edf8ec42396fe9ad9826ac69f227f188ee8df638a09baa37102809ad8a",
    "cross_cats_sorted": [
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2008-11-17T00:07:26Z",
    "title_canon_sha256": "fae66cdf6af55d9dd02c9ae85cf59806253275990ec7eb7f6736113c40295bbd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0811.2608",
    "kind": "arxiv",
    "version": 4
  }
}