Pith Number

pith:7X3TYNHP

pith:2023:7X3TYNHPIJ2FWRY3CRJZ322LJN

not attested not anchored not stored refs pending

A stability theorem for bigraded persistence barcodes

Anthony Bahri, Donald Stanley, Ivan Limonchenko, Jongbaek Song, Taras Panov

arxiv:2303.14694 v3 · 2023-03-26 · math.AT · cs.CG · cs.LG · math.CO · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7X3TYNHPIJ2FWRY3CRJZ322LJN}

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	2026-06-25T01:17:42.202121Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fdf73c34ef42745b471b14539deb4b4b4dc8a8e6da38697a5f1bce34e0c34b97

Aliases

arxiv: 2303.14694 · arxiv_version: 2303.14694v3 · doi: 10.48550/arxiv.2303.14694 · pith_short_12: 7X3TYNHPIJ2F · pith_short_16: 7X3TYNHPIJ2FWRY3 · pith_short_8: 7X3TYNHP

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/7X3TYNHPIJ2FWRY3CRJZ322LJN \
  | 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: fdf73c34ef42745b471b14539deb4b4b4dc8a8e6da38697a5f1bce34e0c34b97

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c4b68b3adcdc3103ac91f120ce8224f0ffc12adbefbb22aac9b14bd0a00cfe37",
    "cross_cats_sorted": [
      "cs.CG",
      "cs.LG",
      "math.CO",
      "math.MG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2023-03-26T11:43:29Z",
    "title_canon_sha256": "9c21c98a847bf2e418928fd907f37d8063efb39530829f7cbf07177eeab20579"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2303.14694",
    "kind": "arxiv",
    "version": 3
  }
}