Pith Number

pith:AZDCSQRJ

pith:2012:AZDCSQRJVCQDBVD2BUXVQBC5WB

not attested not anchored not stored refs pending

Isometric properties of relative bounded cohomology

Alessandra Iozzi, Cristina Pagliantini, Marc Burger, Maria Beatrice Pozzetti, Michelle Bucher, Roberto Frigerio

arxiv:1205.1022 v2 · 2012-05-04 · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AZDCSQRJVCQDBVD2BUXVQBC5WB}

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	2026-05-18T03:55:22.984233Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0646294229a8a030d47a0d2f58045db0767c3e4acfc9894db673631cdbf0d11b

Aliases

arxiv: 1205.1022 · arxiv_version: 1205.1022v2 · doi: 10.48550/arxiv.1205.1022 · pith_short_12: AZDCSQRJVCQD · pith_short_16: AZDCSQRJVCQDBVD2 · pith_short_8: AZDCSQRJ

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/AZDCSQRJVCQDBVD2BUXVQBC5WB \
  | 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: 0646294229a8a030d47a0d2f58045db0767c3e4acfc9894db673631cdbf0d11b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "119f35801c33122832d436ededaaad7b5c9568a1a9c1e5f868ee9d56e68faeb7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2012-05-04T18:12:21Z",
    "title_canon_sha256": "2180a8e0d7c7c964d48a397f66cd053b3c0c52b94445b0bce807b88065d7b342"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.1022",
    "kind": "arxiv",
    "version": 2
  }
}