Pith Number

pith:WJVKVVJO

pith:2024:WJVKVVJOY3ZFTLGTCRYTAFDPX7

not attested not anchored not stored refs pending

A counter-example to Singer's conjecture for the algebraic transfer

Nguyen Sum

arxiv:2408.06669 v2 · 2024-08-13 · 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{WJVKVVJOY3ZFTLGTCRYTAFDPX7}

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	2026-07-05T08:59:11.519612Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b26aaad52ec6f259acd3147130146fbfe54ab388f7c4eda2309df0365832075f

Aliases

arxiv: 2408.06669 · arxiv_version: 2408.06669v2 · doi: 10.48550/arxiv.2408.06669 · pith_short_12: WJVKVVJOY3ZF · pith_short_16: WJVKVVJOY3ZFTLGT · pith_short_8: WJVKVVJO

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/WJVKVVJOY3ZFTLGTCRYTAFDPX7 \
  | 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: b26aaad52ec6f259acd3147130146fbfe54ab388f7c4eda2309df0365832075f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b84ab34c78d9796c41f0336e4e858de6990e94fc59330ca706c9bfeff6cacb06",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2024-08-13T06:41:40Z",
    "title_canon_sha256": "5cda3e2625995990e7c89069decb9df57c6e89f30879309510e9dc2e9f21efc7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2408.06669",
    "kind": "arxiv",
    "version": 2
  }
}