Pith Number

pith:WLA5BD2V

pith:2018:WLA5BD2VDCEWUOJC4C34ZVJB4F

not attested not anchored not stored refs pending

Inner cohomology of $GL_n$

Krishna Kishore

arxiv:1802.06978 v2 · 2018-02-20 · 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{WLA5BD2VDCEWUOJC4C34ZVJB4F}

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	2026-05-18T00:22:49.018868Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b2c1d08f5518896a3922e0b7ccd521e14063279cfc14a655a55cd7dafdfd3443

Aliases

arxiv: 1802.06978 · arxiv_version: 1802.06978v2 · doi: 10.48550/arxiv.1802.06978 · pith_short_12: WLA5BD2VDCEW · pith_short_16: WLA5BD2VDCEWUOJC · pith_short_8: WLA5BD2V

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/WLA5BD2VDCEWUOJC4C34ZVJB4F \
  | 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: b2c1d08f5518896a3922e0b7ccd521e14063279cfc14a655a55cd7dafdfd3443

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "839b2c63367744ad93596c6c60e373e8319b8ef9eb6b8e4d12a45e67358338fb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-02-20T06:31:02Z",
    "title_canon_sha256": "45892e020bb2c43a70abfe0181f782f9b9d8b11b956f17cce724a6595c0f8040"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.06978",
    "kind": "arxiv",
    "version": 2
  }
}