Pith Number

pith:PCBI3D32

pith:2024:PCBI3D32LD3HW72WZPWGDFR7BK

not attested not anchored not stored refs pending

Cohomology of $(\varphi, \tau)$-modules

Hui Gao, Luming Zhao

arxiv:2402.02492 v3 · 2024-02-04 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PCBI3D32LD3HW72WZPWGDFR7BK}

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.

Cited by

1 paper in Pith

Multivariable period rings of $p$-adic false Tate curve extension

Receipt and verification

First computed	2026-07-05T11:09:57.771379Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

78828d8f7a58f67b7f56cbec61963f0abdb8060391620ae22db3ade93c77923b

Aliases

arxiv: 2402.02492 · arxiv_version: 2402.02492v3 · doi: 10.48550/arxiv.2402.02492 · pith_short_12: PCBI3D32LD3H · pith_short_16: PCBI3D32LD3HW72W · pith_short_8: PCBI3D32

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/PCBI3D32LD3HW72WZPWGDFR7BK \
  | 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: 78828d8f7a58f67b7f56cbec61963f0abdb8060391620ae22db3ade93c77923b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c107dde42d9133e632e45dec1499b53f5bd9c1fdf0f44ab63932685001698919",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2024-02-04T13:38:55Z",
    "title_canon_sha256": "e9722e6adaaf0a0abc505670def8e9b64e007f5c0aa5941df219bea52d93ad0a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2402.02492",
    "kind": "arxiv",
    "version": 3
  }
}