Pith Number

pith:BYVWJIHL

pith:2024:BYVWJIHL5QF4M3VZGNKYACY7NP

not attested not anchored not stored refs pending

Dynamical Persistent Homology via Wasserstein Gradient Flow

Jinhui Xu, Minghua Wang

arxiv:2412.03806 v1 · 2024-12-05 · math.AT · cs.CG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BYVWJIHL5QF4M3VZGNKYACY7NP}

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	2026-07-05T09:44:41.598414Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0e2b64a0ebec0bc66eb93355800b1f6be0f905be447ec0a9b02d54b0ba67a1c4

Aliases

arxiv: 2412.03806 · arxiv_version: 2412.03806v1 · doi: 10.48550/arxiv.2412.03806 · pith_short_12: BYVWJIHL5QF4 · pith_short_16: BYVWJIHL5QF4M3VZ · pith_short_8: BYVWJIHL

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/BYVWJIHL5QF4M3VZGNKYACY7NP \
  | 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: 0e2b64a0ebec0bc66eb93355800b1f6be0f905be447ec0a9b02d54b0ba67a1c4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eb84a930cdcda9ad0e7f6ebdc96825b4d35b65d4bc58a6aa81f52c3150eabf88",
    "cross_cats_sorted": [
      "cs.CG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2024-12-05T01:58:21Z",
    "title_canon_sha256": "228f9cbd656033cc11c214296c6886480ce620b4d1ab681ff2efc1dfb4b1bb6b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.03806",
    "kind": "arxiv",
    "version": 1
  }
}