Pith Number

pith:KGEMGEWL

pith:2017:KGEMGEWLLXMBR7VJUJ6TY3TQMK

not attested not anchored not stored refs pending

Generic vanishing for semi-abelian varieties and integral Alexander modules

Botong Wang, Laurentiu Maxim, Yongqiang Liu

arxiv:1707.09806 v1 · 2017-07-31 · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KGEMGEWLLXMBR7VJUJ6TY3TQMK}

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	2026-05-18T00:39:08.177188Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5188c312cb5dd818fea9a27d3c6e7062b11a2506e051dc4b71a44544b68ef8f5

Aliases

arxiv: 1707.09806 · arxiv_version: 1707.09806v1 · doi: 10.48550/arxiv.1707.09806 · pith_short_12: KGEMGEWLLXMB · pith_short_16: KGEMGEWLLXMBR7VJ · pith_short_8: KGEMGEWL

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/KGEMGEWLLXMBR7VJUJ6TY3TQMK \
  | 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: 5188c312cb5dd818fea9a27d3c6e7062b11a2506e051dc4b71a44544b68ef8f5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9b23b7f0aff1c4b416dc5840fe6fe718436dae7da55e28bec5a359126e23e161",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2017-07-31T11:34:29Z",
    "title_canon_sha256": "411321da97efa124b66e4ac4b98604e5e1a5e92342697fe2cd34425a1f80e8d4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.09806",
    "kind": "arxiv",
    "version": 1
  }
}