Pith Number

pith:Z6DQNEFB

pith:2013:Z6DQNEFBMSCQM6KD5OGDUPVCAY

not attested not anchored not stored refs pending

Isometric Embeddings in Bounded Cohomology

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

arxiv:1305.2612 v1 · 2013-05-12 · 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{Z6DQNEFBMSCQM6KD5OGDUPVCAY}

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	2026-05-18T03:25:57.400276Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cf870690a16485067943eb8c3a3ea2062451405c2ce4c5e9ac90f9e951e034c6

Aliases

arxiv: 1305.2612 · arxiv_version: 1305.2612v1 · doi: 10.48550/arxiv.1305.2612 · pith_short_12: Z6DQNEFBMSCQ · pith_short_16: Z6DQNEFBMSCQM6KD · pith_short_8: Z6DQNEFB

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/Z6DQNEFBMSCQM6KD5OGDUPVCAY \
  | 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: cf870690a16485067943eb8c3a3ea2062451405c2ce4c5e9ac90f9e951e034c6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "55b53baa676aa088d482406bc606525e87b47b08231cce7a20268955f57d93cf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2013-05-12T17:41:43Z",
    "title_canon_sha256": "1bf28ebdd3a56c34b3518114ff24678dfff1215bcdbe2048d12fcd5e400373d9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.2612",
    "kind": "arxiv",
    "version": 1
  }
}