Pith Number

pith:ZJ3RXKYS

pith:2014:ZJ3RXKYSY5VLPFIQYUR4APDCSM

not attested not anchored not stored refs pending

Recovering the Lie algebra from its extremal geometry

Hans Cuypers, Kieran Roberts, Sergey Shpectorov

arxiv:1410.5937 v1 · 2014-10-22 · math.RA · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZJ3RXKYSY5VLPFIQYUR4APDCSM}

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	2026-05-18T02:39:32.899761Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ca771bab12c76ab79510c523c03c6293057f373b55b6c31df1daf740e43152e6

Aliases

arxiv: 1410.5937 · arxiv_version: 1410.5937v1 · doi: 10.48550/arxiv.1410.5937 · pith_short_12: ZJ3RXKYSY5VL · pith_short_16: ZJ3RXKYSY5VLPFIQ · pith_short_8: ZJ3RXKYS

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/ZJ3RXKYSY5VLPFIQYUR4APDCSM \
  | 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: ca771bab12c76ab79510c523c03c6293057f373b55b6c31df1daf740e43152e6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ef49bc39b6b150aa1dcd0430d00bdbb4873ba65fd2c20ca1995fc430c2b692d0",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2014-10-22T08:20:51Z",
    "title_canon_sha256": "4c7a770319e2ff3d80ba06237d6baaa442a0ccc53937a494b12acd25687b0c73"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.5937",
    "kind": "arxiv",
    "version": 1
  }
}