Pith Number

pith:Y64GGPMU

pith:2004:Y64GGPMU7OO6FBY2ZNCST6XUTB

not attested not anchored not stored refs pending

Boundary operator algebras for free uniform tree lattices

Guyan Robertson

arxiv:math/0407266 v1 · 2004-07-15 · math.OA · 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{Y64GGPMU7OO6FBY2ZNCST6XUTB}

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	2026-05-18T03:32:45.964036Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c7b8633d94fb9de2871acb4529faf4987a3eeb0fc88194e2dcca16c61090af4d

Aliases

arxiv: math/0407266 · arxiv_version: math/0407266v1 · doi: 10.48550/arxiv.math/0407266 · pith_short_12: Y64GGPMU7OO6 · pith_short_16: Y64GGPMU7OO6FBY2 · pith_short_8: Y64GGPMU

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/Y64GGPMU7OO6FBY2ZNCST6XUTB \
  | 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: c7b8633d94fb9de2871acb4529faf4987a3eeb0fc88194e2dcca16c61090af4d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7c52397dd94ac11350d02502f2332c04aaae40eb2f1767f290a2dd10dfccc7b0",
    "cross_cats_sorted": [
      "math.KT"
    ],
    "license": "",
    "primary_cat": "math.OA",
    "submitted_at": "2004-07-15T08:37:21Z",
    "title_canon_sha256": "06a38b1cceff691345d87be47667a3989e12a0e12c1652f8bfeefcf7b4095206"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0407266",
    "kind": "arxiv",
    "version": 1
  }
}