Pith Number

pith:TOJQZ4XH

pith:2024:TOJQZ4XHGLSQATLAXX66SLOEJ6

not attested not anchored not stored refs pending

TR and the $r$-Nygaard filtered prismatic cohomology

Faidon Andriopoulos

arxiv:2412.00914 v2 · 2024-12-01 · math.AG · math.KT · 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{TOJQZ4XHGLSQATLAXX66SLOEJ6}

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	2026-07-05T09:44:17.465395Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9b930cf2e732e5004d60bdfde92dc44f97404f6eafc0a9a6c50a34f7ed57ac2d

Aliases

arxiv: 2412.00914 · arxiv_version: 2412.00914v2 · doi: 10.48550/arxiv.2412.00914 · pith_short_12: TOJQZ4XHGLSQ · pith_short_16: TOJQZ4XHGLSQATLA · pith_short_8: TOJQZ4XH

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/TOJQZ4XHGLSQATLAXX66SLOEJ6 \
  | 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: 9b930cf2e732e5004d60bdfde92dc44f97404f6eafc0a9a6c50a34f7ed57ac2d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a31c4a419f150b51c8818dc83c5184458b10afc92deb39f62ef97bcdbf2deee6",
    "cross_cats_sorted": [
      "math.KT",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2024-12-01T18:04:24Z",
    "title_canon_sha256": "33116c2d520d654e62d7fb91ef48e12828572f60023ab3aa2ee585d5557cc537"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.00914",
    "kind": "arxiv",
    "version": 2
  }
}