Pith Number

pith:W7BNWKKZ

pith:2017:W7BNWKKZQTD2K6LAZERG436C5F

not attested not anchored not stored refs pending

Mellin transformation, propagation, and abelian duality spaces

Botong Wang, Laurentiu Maxim, Yongqiang Liu

arxiv:1709.02870 v2 · 2017-09-08 · math.AT · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{W7BNWKKZQTD2K6LAZERG436C5F}

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	2026-05-18T00:31:59.516580Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b7c2db295984c7a57960c9226e6fc2e96740339adda3a3e06c1fe264c50b9d36

Aliases

arxiv: 1709.02870 · arxiv_version: 1709.02870v2 · doi: 10.48550/arxiv.1709.02870 · pith_short_12: W7BNWKKZQTD2 · pith_short_16: W7BNWKKZQTD2K6LA · pith_short_8: W7BNWKKZ

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/W7BNWKKZQTD2K6LAZERG436C5F \
  | 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: b7c2db295984c7a57960c9226e6fc2e96740339adda3a3e06c1fe264c50b9d36

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e9324c67e96b41c34831933db5237eee312a07eeb191777aa2f53246cee69e24",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2017-09-08T22:23:49Z",
    "title_canon_sha256": "c181fae24ccbe649d8eb53695da3318a262cfa672dc0ec34a34fc69754141508"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.02870",
    "kind": "arxiv",
    "version": 2
  }
}