Pith Number

pith:TUIUSFSY

pith:2025:TUIUSFSYVKWY7YVZ72G2NGCSMT

not attested not anchored not stored refs pending

Path representations in multiparameter persistent homology

Carsten Marr, Ren\'e Corbet, Xudong Sun

arxiv:2507.23762 v1 · 2025-07-31 · 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{TUIUSFSYVKWY7YVZ72G2NGCSMT}

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	2026-07-05T11:46:30.621825Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9d11491658aaad8fe2b9fe8da6985264f2a3e9e09476214eb9153bfc79482d20

Aliases

arxiv: 2507.23762 · arxiv_version: 2507.23762v1 · doi: 10.48550/arxiv.2507.23762 · pith_short_12: TUIUSFSYVKWY · pith_short_16: TUIUSFSYVKWY7YVZ · pith_short_8: TUIUSFSY

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/TUIUSFSYVKWY7YVZ72G2NGCSMT \
  | 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: 9d11491658aaad8fe2b9fe8da6985264f2a3e9e09476214eb9153bfc79482d20

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4895872c58524747366ce7131d033ec6d2ef4a1046f73c41935797aa6a3a9e2a",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2025-07-31T17:50:48Z",
    "title_canon_sha256": "eb0c2e026fc6207d90fab4a4b13a85db3649c3af573e09f0c163a2c58e86f1c6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.23762",
    "kind": "arxiv",
    "version": 1
  }
}