Pith Number

pith:V4LBJ547

pith:2015:V4LBJ547ZJBIMOQ2PMWONW4BHG

not attested not anchored not stored refs pending

Interval Decomposition of Infinite Zigzag Persistence Modules

Magnus Bakke Botnan

arxiv:1507.01899 v1 · 2015-07-07 · math.RT · 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{V4LBJ547ZJBIMOQ2PMWONW4BHG}

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	2026-05-18T01:37:12.118187Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

af1614f79fca42863a1a7b2ce6db81399b3f499c02b6060994f4d72fcb1549fc

Aliases

arxiv: 1507.01899 · arxiv_version: 1507.01899v1 · doi: 10.48550/arxiv.1507.01899 · pith_short_12: V4LBJ547ZJBI · pith_short_16: V4LBJ547ZJBIMOQ2 · pith_short_8: V4LBJ547

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/V4LBJ547ZJBIMOQ2PMWONW4BHG \
  | 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: af1614f79fca42863a1a7b2ce6db81399b3f499c02b6060994f4d72fcb1549fc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b53c28623b734cac8a6c590e1a5aaade86e0d494fe042f2c703564900e291e29",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2015-07-07T17:54:35Z",
    "title_canon_sha256": "1fb0a23004b0ef568d570eb55ec738093b6ba8239db2d20884a4c3ec775f005d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.01899",
    "kind": "arxiv",
    "version": 1
  }
}