Pith Number

pith:DOQPYLAM

pith:2018:DOQPYLAMOYBEMS42KT2KWJW6YX

not attested not anchored not stored refs pending

Barcodes in level and sub level persistence and Morse-Novikov theory

Dan Burghelea

arxiv:1805.12567 v1 · 2018-05-31 · 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{DOQPYLAMOYBEMS42KT2KWJW6YX}

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	2026-05-18T00:14:29.902346Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1ba0fc2c0c7602464b9a54f4ab26dec5f6ab931fb2d40380d06363434751235f

Aliases

arxiv: 1805.12567 · arxiv_version: 1805.12567v1 · doi: 10.48550/arxiv.1805.12567 · pith_short_12: DOQPYLAMOYBE · pith_short_16: DOQPYLAMOYBEMS42 · pith_short_8: DOQPYLAM

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/DOQPYLAMOYBEMS42KT2KWJW6YX \
  | 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: 1ba0fc2c0c7602464b9a54f4ab26dec5f6ab931fb2d40380d06363434751235f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8db3a68c426735d1156e11a9a12f2b180794772028ff1dd3417b041989e8bbcb",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2018-05-31T17:18:17Z",
    "title_canon_sha256": "7dc60157cc07a5785a278c767abfe1dcee741774e2f471cd00abd0be77b70d9f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.12567",
    "kind": "arxiv",
    "version": 1
  }
}