Pith Number

pith:7ZHO36WB

pith:2011:7ZHO36WBBS2EKTYKFTGWY6NS3A

not attested not anchored not stored refs pending

Tree Algebras: An algebraic axiomatization of intertwining vertex operators

Igor Kriz, Yang Xiu

arxiv:1102.2007 v1 · 2011-02-09 · 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{7ZHO36WBBS2EKTYKFTGWY6NS3A}

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	2026-05-18T04:29:34.447547Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fe4eedfac10cb4454f0a2ccd6c79b2d83c0df3e64a2115af1cef07af766514a7

Aliases

arxiv: 1102.2007 · arxiv_version: 1102.2007v1 · doi: 10.48550/arxiv.1102.2007 · pith_short_12: 7ZHO36WBBS2E · pith_short_16: 7ZHO36WBBS2EKTYK · pith_short_8: 7ZHO36WB

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/7ZHO36WBBS2EKTYKFTGWY6NS3A \
  | 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: fe4eedfac10cb4454f0a2ccd6c79b2d83c0df3e64a2115af1cef07af766514a7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a2613fa188aa155787f086847e0dae8465a85a40ba012f1002ed7935977a5398",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2011-02-09T23:34:25Z",
    "title_canon_sha256": "c03d3d1d851b68f3a66372caf9ad47466ffd7c0329b70c0f81ae620470a5c713"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.2007",
    "kind": "arxiv",
    "version": 1
  }
}