Pith Number

pith:ZWBPVYF7

pith:2012:ZWBPVYF76YK4IOTKLBBQPW7NFF

not attested not anchored not stored refs pending

Discrete Morse functions for graph configuration spaces

Adam Sawicki

arxiv:1206.1986 v2 · 2012-06-10 · math-ph · math.AT · math.MP · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZWBPVYF76YK4IOTKLBBQPW7NFF}

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	2026-05-18T01:22:49.231440Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cd82fae0bff615c43a6a584307dbed2951e96978d26ac55a986cb994ac804b7f

Aliases

arxiv: 1206.1986 · arxiv_version: 1206.1986v2 · doi: 10.48550/arxiv.1206.1986 · pith_short_12: ZWBPVYF76YK4 · pith_short_16: ZWBPVYF76YK4IOTK · pith_short_8: ZWBPVYF7

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/ZWBPVYF76YK4IOTKLBBQPW7NFF \
  | 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: cd82fae0bff615c43a6a584307dbed2951e96978d26ac55a986cb994ac804b7f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6ba8ff086a36cd4a29658b8150f66f71bc015477d612fa52eb98283e6fdca5e9",
    "cross_cats_sorted": [
      "math.AT",
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-06-10T00:37:54Z",
    "title_canon_sha256": "c4434baabd956602da202d4ca6f56eb62741b38e261934f84e67fab30541f238"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.1986",
    "kind": "arxiv",
    "version": 2
  }
}