Pith Number

pith:4TK5KDNQ

pith:1995:4TK5KDNQYOAS4EE4SLZ5P5KW4H

not attested not anchored not stored refs pending

Trees in renorming theory

Richard Haydon

arxiv:math/9509217 v1 · 1995-09-27 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4TK5KDNQYOAS4EE4SLZ5P5KW4H}

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	2026-05-18T01:05:48.319923Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e4d5d50db0c3812e109c92f3d7f556e1f668e435736eb336f6558ba33cf40290

Aliases

arxiv: math/9509217 · arxiv_version: math/9509217v1 · doi: 10.48550/arxiv.math/9509217 · pith_short_12: 4TK5KDNQYOAS · pith_short_16: 4TK5KDNQYOAS4EE4 · pith_short_8: 4TK5KDNQ

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/4TK5KDNQYOAS4EE4SLZ5P5KW4H \
  | 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: e4d5d50db0c3812e109c92f3d7f556e1f668e435736eb336f6558ba33cf40290

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9bc77bb1fde91d3958740cbbd3908fd9448b1b4569c6f12749616ece24ead836",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.FA",
    "submitted_at": "1995-09-27T00:00:00Z",
    "title_canon_sha256": "d513e9900552bb353e7ae713313b80e840a71af1b772d41faa357c6365dcc34c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9509217",
    "kind": "arxiv",
    "version": 1
  }
}