Pith Number

pith:IH2YWFCK

pith:2019:IH2YWFCK56RBFTYP7T6F53TZYA

not attested not anchored not stored refs pending

Moduli Spaces of Morse Functions for Persistence

Bei Wang, Brittany Terese Fasy, Greg Malen, Hans Riess, J\=anis Lazovskis, Justin Curry, Matthew Zabka, Michael J. Catanzaro

arxiv:1909.10623 v2 · 2019-09-23 · math.AT · math.CO · 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{IH2YWFCK56RBFTYP7T6F53TZYA}

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	2026-07-05T02:06:43.917048Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

41f58b144aefa212cf0ffcfc5eee79c02d0e74e2660cfaeeb7eb616c2c760bc7

Aliases

arxiv: 1909.10623 · arxiv_version: 1909.10623v2 · doi: 10.48550/arxiv.1909.10623 · pith_short_12: IH2YWFCK56RB · pith_short_16: IH2YWFCK56RBFTYP · pith_short_8: IH2YWFCK

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/IH2YWFCK56RBFTYP7T6F53TZYA \
  | 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: 41f58b144aefa212cf0ffcfc5eee79c02d0e74e2660cfaeeb7eb616c2c760bc7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b4d93abad3cf43a929d4e3889400a580dbdc28a966c7d1163b0fbcdc1d7d56b4",
    "cross_cats_sorted": [
      "math.CO",
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2019-09-23T21:26:02Z",
    "title_canon_sha256": "95e36651700b0d366545dcffb76ac32dd0732af98e04228bef2f2b9be04bf0e8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1909.10623",
    "kind": "arxiv",
    "version": 2
  }
}