Pith Number

pith:6OP3FJD3

pith:2015:6OP3FJD37QGHGFSGB6UB6VEIKI

not attested not anchored not stored refs pending

Abelian duality and propagation of resonance

Alexander I. Suciu, Graham Denham, Sergey Yuzvinsky

arxiv:1512.07702 v2 · 2015-12-24 · math.AT · math.CO · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6OP3FJD37QGHGFSGB6UB6VEIKI}

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	2026-05-18T00:34:39.505380Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f39fb2a47bfc0c7316460fa81f5488523c432311784b544b3d863542560230bf

Aliases

arxiv: 1512.07702 · arxiv_version: 1512.07702v2 · doi: 10.48550/arxiv.1512.07702 · pith_short_12: 6OP3FJD37QGH · pith_short_16: 6OP3FJD37QGHGFSG · pith_short_8: 6OP3FJD3

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/6OP3FJD37QGHGFSGB6UB6VEIKI \
  | 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: f39fb2a47bfc0c7316460fa81f5488523c432311784b544b3d863542560230bf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "48ab780160e3aebf021c49e1494576e5e6ea0b95b8250356791d5d479c5400e5",
    "cross_cats_sorted": [
      "math.CO",
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2015-12-24T03:18:29Z",
    "title_canon_sha256": "a55b8606d61de463d45bc0af5220e6e4341b1f5fd27f7a2990a27b6d20739894"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.07702",
    "kind": "arxiv",
    "version": 2
  }
}