Pith Number

pith:OSGIY4F6

pith:2018:OSGIY4F6SKIXHMPH3ER2ECICSF

not attested not anchored not stored refs pending

Counting maximally broken Morse trajectories on aspherical manifolds

Caterina Campagnolo, Roman Sauer

arxiv:1808.08737 v3 · 2018-08-27 · 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{OSGIY4F6SKIXHMPH3ER2ECICSF}

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	2026-05-17T23:55:38.407163Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

748c8c70be929173b1e7d923a209029158b9898e365d214f5adc72ed0993a983

Aliases

arxiv: 1808.08737 · arxiv_version: 1808.08737v3 · doi: 10.48550/arxiv.1808.08737 · pith_short_12: OSGIY4F6SKIX · pith_short_16: OSGIY4F6SKIXHMPH · pith_short_8: OSGIY4F6

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/OSGIY4F6SKIXHMPH3ER2ECICSF \
  | 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: 748c8c70be929173b1e7d923a209029158b9898e365d214f5adc72ed0993a983

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f3cd605215fa3f5c690958508be74bcfa15681c67270f936ca36945d47ca0383",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2018-08-27T08:53:18Z",
    "title_canon_sha256": "3b8feacaf4d09bbfb73a11eb2295d42898b10eab4ce6dcffb2bba6969e3efb69"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.08737",
    "kind": "arxiv",
    "version": 3
  }
}