Pith Number

pith:3YVXTH3W

pith:2026:3YVXTH3WG2ZI4M2P7XDWKEC3DI

not attested not anchored not stored refs pending

Morse flow categories as exit path categories

Colin Fourel

arxiv:2605.27112 v1 · 2026-05-26 · math.AT · math.CT · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3YVXTH3WG2ZI4M2P7XDWKEC3DI}

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.

Cited by

1 paper in Pith

Transport functions for principal bundles and Morse homology with differential graded coefficients

Receipt and verification

First computed	2026-05-27T02:05:42.543475Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

de2b799f7636b28e334ffdc765105b1a09a493e0638043bcdff4db597c46b296

Aliases

arxiv: 2605.27112 · arxiv_version: 2605.27112v1 · doi: 10.48550/arxiv.2605.27112 · pith_short_12: 3YVXTH3WG2ZI · pith_short_16: 3YVXTH3WG2ZI4M2P · pith_short_8: 3YVXTH3W

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/3YVXTH3WG2ZI4M2P7XDWKEC3DI \
  | 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: de2b799f7636b28e334ffdc765105b1a09a493e0638043bcdff4db597c46b296

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1c2a6ca3870c0e7102bf380d5aa5030bc728f600e0b05d16312cdb4278713280",
    "cross_cats_sorted": [
      "math.CT",
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2026-05-26T14:52:01Z",
    "title_canon_sha256": "e0121742b3f1d305447d6c187aa90d47d57ac9f94a2d6902a0e969e1866d98b7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.27112",
    "kind": "arxiv",
    "version": 1
  }
}