Pith Number

pith:N45ECFQM

pith:2015:N45ECFQMLVC63T5MJSE5E4WZ7M

not attested not anchored not stored refs pending

Specification and partial hyperbolicity for flows

Kenichiro Yamamoto, Naoya Sumi, Paulo Varandas

arxiv:1502.00745 v2 · 2015-02-03 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{N45ECFQMLVC63T5MJSE5E4WZ7M}

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	2026-05-18T01:36:20.114034Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6f3a41160c5d45edcfac4c89d272d9fb38924fde678ec09af0fa4eecad7334b8

Aliases

arxiv: 1502.00745 · arxiv_version: 1502.00745v2 · doi: 10.48550/arxiv.1502.00745 · pith_short_12: N45ECFQMLVC6 · pith_short_16: N45ECFQMLVC63T5M · pith_short_8: N45ECFQM

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/N45ECFQMLVC63T5MJSE5E4WZ7M \
  | 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: 6f3a41160c5d45edcfac4c89d272d9fb38924fde678ec09af0fa4eecad7334b8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c4052e5cd7b70ef489190514813b750dbd0ca36ab6160e2e8fbc6975d9353adf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2015-02-03T05:49:26Z",
    "title_canon_sha256": "8afb2203515f7539cdfa7cce3451edabc76aefc89835fd35f26cadd2225866ea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.00745",
    "kind": "arxiv",
    "version": 2
  }
}