Pith Number

pith:J5UZH2MW

pith:2015:J5UZH2MWS7DSAWV7IMVBENB2OR

not attested not anchored not stored refs pending

Trees and ultrametric M\"obius structures

Jonas Beyrer, Viktor Schroeder

arxiv:1508.03257 v1 · 2015-08-13 · 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{J5UZH2MWS7DSAWV7IMVBENB2OR}

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	2026-05-18T01:35:21.299134Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4f6993e99697c7205abf432a12343a747cf906b9a4f50e6d4a3321afdc3f64d4

Aliases

arxiv: 1508.03257 · arxiv_version: 1508.03257v1 · doi: 10.48550/arxiv.1508.03257 · pith_short_12: J5UZH2MWS7DS · pith_short_16: J5UZH2MWS7DSAWV7 · pith_short_8: J5UZH2MW

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/J5UZH2MWS7DSAWV7IMVBENB2OR \
  | 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: 4f6993e99697c7205abf432a12343a747cf906b9a4f50e6d4a3321afdc3f64d4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "172221dd2d1e5ce1327b76bf20764718686f4ae09acce50fbc7204e8696ef6d2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2015-08-13T16:16:37Z",
    "title_canon_sha256": "89af6ce79daeb21dc7333a1e5a39e76271f35af290b08ceba44d62af5f0dcc58"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.03257",
    "kind": "arxiv",
    "version": 1
  }
}