Pith Number

pith:43V7XPMO

pith:2016:43V7XPMOCWBG5VPFDO5OJWFZW5

not attested not anchored not stored refs pending

Spectral and Modular Analysis of #P Problems

Ohad Asor

arxiv:1601.00691 v2 · 2016-01-04 · cs.CC · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{43V7XPMOCWBG5VPFDO5OJWFZW5}

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	2026-05-18T01:23:11.659408Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e6ebfbbd8e15826ed5e51bbae4d8b9b75bb2b15156bf6040b24b74b33aecea38

Aliases

arxiv: 1601.00691 · arxiv_version: 1601.00691v2 · doi: 10.48550/arxiv.1601.00691 · pith_short_12: 43V7XPMOCWBG · pith_short_16: 43V7XPMOCWBG5VPF · pith_short_8: 43V7XPMO

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/43V7XPMOCWBG5VPFDO5OJWFZW5 \
  | 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: e6ebfbbd8e15826ed5e51bbae4d8b9b75bb2b15156bf6040b24b74b33aecea38

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7083d297265441a1809e6a1f773b602eaae40a7a772840287ec7be83a685de5c",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2016-01-04T22:35:37Z",
    "title_canon_sha256": "c467d19df019a7d10d48817fd0e5d0cda57ff234dc592ca2f8c23db3988e6697"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.00691",
    "kind": "arxiv",
    "version": 2
  }
}