Pith Number

pith:JPSJUTPJ

pith:2023:JPSJUTPJZPHPGWNDLYLSLBBFR3

not attested not anchored not stored refs pending

The poset of cancellations induced by gradient dynamics in a filtered Lefschetz complex

Herbert Edelsbrunner, Manuel Soriano-Trigueros, Marian Mrozek, Micha{\l} Lipi\'nski

arxiv:2311.14364 v4 · 2023-11-24 · math.AT · cs.CG · 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{JPSJUTPJZPHPGWNDLYLSLBBFR3}

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	2026-05-26T01:02:24.696467Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4be49a4de9cbcef359a35e172584258eec182e271d19748f1df45d1a0ba16164

Aliases

arxiv: 2311.14364 · arxiv_version: 2311.14364v4 · doi: 10.48550/arxiv.2311.14364 · pith_short_12: JPSJUTPJZPHP · pith_short_16: JPSJUTPJZPHPGWND · pith_short_8: JPSJUTPJ

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/JPSJUTPJZPHPGWNDLYLSLBBFR3 \
  | 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: 4be49a4de9cbcef359a35e172584258eec182e271d19748f1df45d1a0ba16164

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bf76a1db995b4dace2b75d1a2f2d13877c148d00922f5d533ff70242eb8b4e14",
    "cross_cats_sorted": [
      "cs.CG",
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2023-11-24T09:22:02Z",
    "title_canon_sha256": "bea691bf4625caa6c86153df854c7ddeca65c9cb2b296d299966239d6613b9cb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2311.14364",
    "kind": "arxiv",
    "version": 4
  }
}