Pith Number

pith:QE4EOSTM

pith:2016:QE4EOSTM47VTGMGH5L355KAUZT

not attested not anchored not stored refs pending

Algebraic Stability of Zigzag Persistence Modules

Magnus Bakke Botnan, Michael Lesnick

arxiv:1604.00655 v3 · 2016-04-03 · math.AT · cs.CG · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QE4EOSTM47VTGMGH5L355KAUZT}

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	2026-05-18T00:02:36.781641Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8138474a6ce7eb3330c7eaf7dea814ccecd5fcfe068abb710076f921ce5eb1e2

Aliases

arxiv: 1604.00655 · arxiv_version: 1604.00655v3 · doi: 10.48550/arxiv.1604.00655 · pith_short_12: QE4EOSTM47VT · pith_short_16: QE4EOSTM47VTGMGH · pith_short_8: QE4EOSTM

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/QE4EOSTM47VTGMGH5L355KAUZT \
  | 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: 8138474a6ce7eb3330c7eaf7dea814ccecd5fcfe068abb710076f921ce5eb1e2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "031f181e2ce28a41997ccd57470111ebb09cee337d86b5b5751386a4462abcb5",
    "cross_cats_sorted": [
      "cs.CG",
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2016-04-03T17:04:13Z",
    "title_canon_sha256": "e3ad8ae107d13c28275981bdf3fef1e2e2dffb7e2c82250beea16b5523fc6b21"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.00655",
    "kind": "arxiv",
    "version": 3
  }
}