Pith Number

pith:NMICASQO

pith:2026:NMICASQO67RYNABTIXCHPDXOQI

not attested not anchored not stored refs pending

Linear Bounds for Cohomology of Algebraic Groups

Christopher P. Bendel, Nham Ngo

arxiv:2606.07824 v1 · 2026-06-05 · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NMICASQO67RYNABTIXCHPDXOQI}

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	2026-06-09T01:04:53.148472Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6b10204a0ef7e386803345c4778eee820e089dcdd1dbea7a2ca2f753e52623b8

Aliases

arxiv: 2606.07824 · arxiv_version: 2606.07824v1 · doi: 10.48550/arxiv.2606.07824 · pith_short_12: NMICASQO67RY · pith_short_16: NMICASQO67RYNABT · pith_short_8: NMICASQO

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/NMICASQO67RYNABTIXCHPDXOQI \
  | 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: 6b10204a0ef7e386803345c4778eee820e089dcdd1dbea7a2ca2f753e52623b8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3036e1488f198f35d1d47c7b377cbf353fd14c00cfdba4c5d43942ffb95431df",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2026-06-05T20:18:57Z",
    "title_canon_sha256": "cc393b955126a202027d6b041db93464590f026b346e4c9e34f064f8e5b12cd9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.07824",
    "kind": "arxiv",
    "version": 1
  }
}