Pith Number

pith:HACK4QF7

pith:2024:HACK4QF7VABVIZ2OWPYCQULSEH

not attested not anchored not stored refs pending

Nonvanishing of products in $v_2$-periodic families at the prime $3$

Christian Carrick, Jack Morgan Davies

arxiv:2410.02564 v2 · 2024-10-03 · math.AT · math.KT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HACK4QF7VABVIZ2OWPYCQULSEH}

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	2026-07-05T09:43:34.786405Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3804ae40bfa80354674eb3f028517221e7f3cf47e7ce5d623964e7754bd85528

Aliases

arxiv: 2410.02564 · arxiv_version: 2410.02564v2 · doi: 10.48550/arxiv.2410.02564 · pith_short_12: HACK4QF7VABV · pith_short_16: HACK4QF7VABVIZ2O · pith_short_8: HACK4QF7

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/HACK4QF7VABVIZ2OWPYCQULSEH \
  | 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: 3804ae40bfa80354674eb3f028517221e7f3cf47e7ce5d623964e7754bd85528

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e5bbd73834933070ddb70c16ae993f3b8a9294e91a703173d34836de268448e4",
    "cross_cats_sorted": [
      "math.KT"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2024-10-03T15:06:50Z",
    "title_canon_sha256": "a00cc3dfea0a613be47858a43ea73b254a0aa0c26ac552c09d58a744c69f2b4a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2410.02564",
    "kind": "arxiv",
    "version": 2
  }
}