Pith Number

pith:RSVXUR5P

pith:2015:RSVXUR5P6FX75JPV5P5RC5OGMV

not attested not anchored not stored refs pending

Existence of common zeros for commuting vector fields on $3$-manifolds

Bruno Santiago, Christian Bonatti

arxiv:1504.06104 v2 · 2015-04-23 · 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{RSVXUR5P6FX75JPV5P5RC5OGMV}

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	2026-05-18T00:58:55.582309Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8cab7a47aff16ffea5f5ebfb1175c665543e638be7864b01c324252847538829

Aliases

arxiv: 1504.06104 · arxiv_version: 1504.06104v2 · doi: 10.48550/arxiv.1504.06104 · pith_short_12: RSVXUR5P6FX7 · pith_short_16: RSVXUR5P6FX75JPV · pith_short_8: RSVXUR5P

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/RSVXUR5P6FX75JPV5P5RC5OGMV \
  | 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: 8cab7a47aff16ffea5f5ebfb1175c665543e638be7864b01c324252847538829

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "485b41a1efa5235bfd53fe58dddb189029587e8e5664e6e1ff76cb252f06b660",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2015-04-23T09:36:42Z",
    "title_canon_sha256": "8be76ac26a2cb4387febc24a3933179a5d44a3fe4f0e184d6d0dea731043cd32"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.06104",
    "kind": "arxiv",
    "version": 2
  }
}