Pith Number

pith:QBCN3TQY

pith:2013:QBCN3TQYL4QHKWMBJTE54KGVCU

not attested not anchored not stored refs pending

Bounded cohomology via partial differential equations, I

Andreas Ott, Tobias Hartnick

arxiv:1310.4806 v2 · 2013-10-17 · math.GR · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QBCN3TQYL4QHKWMBJTE54KGVCU}

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	2026-05-18T01:22:24.750681Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8044ddce185f207559814cc9de28d515233007009fcce2ac69adf6d121cfc57d

Aliases

arxiv: 1310.4806 · arxiv_version: 1310.4806v2 · doi: 10.48550/arxiv.1310.4806 · pith_short_12: QBCN3TQYL4QH · pith_short_16: QBCN3TQYL4QHKWMB · pith_short_8: QBCN3TQY

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/QBCN3TQYL4QHKWMBJTE54KGVCU \
  | 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: 8044ddce185f207559814cc9de28d515233007009fcce2ac69adf6d121cfc57d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e4d1e1ea9f8c87c9d9e836d082a3f39ad4afb74793b8da8bd88388289cf14289",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2013-10-17T19:16:45Z",
    "title_canon_sha256": "cef20932378683061480d6e9e85a0b7537aa4898d74eae781c1580284ea5ef4b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.4806",
    "kind": "arxiv",
    "version": 2
  }
}