Pith Number

pith:BR336DAV

pith:1999:BR336DAV4OIUMIYED6INQ6SBPR

not attested not anchored not stored refs pending

Lifting Lie algebras over the residue field of a discrete valuation ring

Jonathan Pakianathan, William Browder

arxiv:math/9901145 v1 · 1999-01-21 · math.KT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BR336DAV4OIUMIYED6INQ6SBPR}

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	2026-05-18T01:05:33.390768Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0c77bf0c15e3914623041f90d87a417c74572f0cd649d26c0fdca54f271e14e6

Aliases

arxiv: math/9901145 · arxiv_version: math/9901145v1 · doi: 10.48550/arxiv.math/9901145 · pith_short_12: BR336DAV4OIU · pith_short_16: BR336DAV4OIUMIYE · pith_short_8: BR336DAV

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/BR336DAV4OIUMIYED6INQ6SBPR \
  | 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: 0c77bf0c15e3914623041f90d87a417c74572f0cd649d26c0fdca54f271e14e6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6c0a18232145831c7ba637f16b4cf6d1e127417225e52181921c7f48dc8d3474",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.KT",
    "submitted_at": "1999-01-21T00:00:00Z",
    "title_canon_sha256": "090c3915f87d9f41f0e5df8ad3d9ec2c4dba6828d78e1d0ad548dbcafed47a93"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9901145",
    "kind": "arxiv",
    "version": 1
  }
}