Pith Number

pith:5N5ETKBH

pith:2004:5N5ETKBH37UPQ5MMGYGCRLSQPB

not attested not anchored not stored refs pending

Equivariant embeddings of trees into hyperbolic spaces

A. Iozzi, M. Burger, N. Monod

arxiv:math/0404530 v3 · 2004-04-29 · math.GR · math.GT · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5N5ETKBH37UPQ5MMGYGCRLSQPB}

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	2026-05-18T03:51:26.019970Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eb7a49a827dfe8f8758c360c28ae50786c11a6b2c452b769f469bd6773d727be

Aliases

arxiv: math/0404530 · arxiv_version: math/0404530v3 · doi: 10.48550/arxiv.math/0404530 · pith_short_12: 5N5ETKBH37UP · pith_short_16: 5N5ETKBH37UPQ5MM · pith_short_8: 5N5ETKBH

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/5N5ETKBH37UPQ5MMGYGCRLSQPB \
  | 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: eb7a49a827dfe8f8758c360c28ae50786c11a6b2c452b769f469bd6773d727be

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f44c768e09517a18225a766cab25b25734eb15bb79efc4eb6d1dbc1c3caaea9a",
    "cross_cats_sorted": [
      "math.GT",
      "math.MG"
    ],
    "license": "",
    "primary_cat": "math.GR",
    "submitted_at": "2004-04-29T15:12:58Z",
    "title_canon_sha256": "c6b8292e96c189ad8a706f020d00c91ed4cf7b279fb01019b5d13a441a065e98"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0404530",
    "kind": "arxiv",
    "version": 3
  }
}