Pith Number

pith:QE6JF5F6

pith:2000:QE6JF5F6I4JX2Q3TYVMUNFNFTH

not attested not anchored not stored refs pending

Chains of twists for symplectic Lie algebras

David Ananikian, Petr Kulish, Vladimir Lyakhovsky

arxiv:math/0010312 v1 · 2000-10-31 · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QE6JF5F6I4JX2Q3TYVMUNFNFTH}

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	2026-05-18T01:05:38.130633Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

813c92f4be47137d4373c5594695a599ce222e700174b6c291af48a953d7625c

Aliases

arxiv: math/0010312 · arxiv_version: math/0010312v1 · doi: 10.48550/arxiv.math/0010312 · pith_short_12: QE6JF5F6I4JX · pith_short_16: QE6JF5F6I4JX2Q3T · pith_short_8: QE6JF5F6

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/QE6JF5F6I4JX2Q3TYVMUNFNFTH \
  | 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: 813c92f4be47137d4373c5594695a599ce222e700174b6c291af48a953d7625c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c19e02ccc9a29677081de1b639107c659549143f73e95f5ae77c8778fc19baf7",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.QA",
    "submitted_at": "2000-10-31T09:30:00Z",
    "title_canon_sha256": "4c31f225cb3d5f8423ca644ad223801b603cba6facfd1d189aa38b0aaf314153"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0010312",
    "kind": "arxiv",
    "version": 1
  }
}