Pith Number

pith:EXH6NLYX

pith:2023:EXH6NLYXEXFA7D7WIMSOBNMSKP

not attested not anchored not stored refs pending

Persistent Sullivan Minimal Models of Metric Spaces

Ling Zhou

arxiv:2310.06263 v3 · 2023-10-10 · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EXH6NLYXEXFA7D7WIMSOBNMSKP}

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

2 papers in Pith

Quantum encodings that preserve persistent homology

A distance between maps via interleavings of relative Sullivan algebras

Receipt and verification

First computed	2026-07-05T10:45:04.449895Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

25cfe6af1725ca0f8ff64324e0b59253c24a78e8d13a189116848aed5d4504dc

Aliases

arxiv: 2310.06263 · arxiv_version: 2310.06263v3 · doi: 10.48550/arxiv.2310.06263 · pith_short_12: EXH6NLYXEXFA · pith_short_16: EXH6NLYXEXFA7D7W · pith_short_8: EXH6NLYX

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/EXH6NLYXEXFA7D7WIMSOBNMSKP \
  | 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: 25cfe6af1725ca0f8ff64324e0b59253c24a78e8d13a189116848aed5d4504dc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a262568fe8ee023ef98de30fed532177217827152f522acf291bb57cbd3596c3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2023-10-10T02:22:54Z",
    "title_canon_sha256": "8f88f02ba4a6ac60a8a73f509d92a799ebe59a967b7ca7a2f863caccc3247231"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2310.06263",
    "kind": "arxiv",
    "version": 3
  }
}