Pith Number

pith:OE5IENQT

pith:2016:OE5IENQTVIIK34I4437OG3JV66

not attested not anchored not stored refs pending

Homology groups for particles on one-connected graphs

Adam Sawicki, Tomasz Maci\k{a}\.zek

arxiv:1606.03414 v2 · 2016-06-10 · math-ph · math.AT · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OE5IENQTVIIK34I4437OG3JV66}

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	2026-05-18T00:44:00.928698Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

713a823613aa10adf11ce6fee36d35f7ab72d4299307d1f40f93f6318100f2ca

Aliases

arxiv: 1606.03414 · arxiv_version: 1606.03414v2 · doi: 10.48550/arxiv.1606.03414 · pith_short_12: OE5IENQTVIIK · pith_short_16: OE5IENQTVIIK34I4 · pith_short_8: OE5IENQT

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/OE5IENQTVIIK34I4437OG3JV66 \
  | 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: 713a823613aa10adf11ce6fee36d35f7ab72d4299307d1f40f93f6318100f2ca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "19d3e3866b6af0f826d91d1d45f142b26e2714fa11677f05fb6400d1703cf43b",
    "cross_cats_sorted": [
      "math.AT",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2016-06-10T18:16:22Z",
    "title_canon_sha256": "619f53271ae904b021dc3f13673117dd0f46236d8b9865e97ab25b8d76c2781b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.03414",
    "kind": "arxiv",
    "version": 2
  }
}