Pith Number

pith:AFVS5NN4

pith:2019:AFVS5NN4SBX4QDKMQUBZWWRB7G

not attested not anchored not stored refs pending

A Theorem of Roe and Strichartz on homogeneous trees

Pratyoosh Kumar, Sumit Kumar Rano

arxiv:1908.05998 v1 · 2019-08-16 · 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{AFVS5NN4SBX4QDKMQUBZWWRB7G}

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	2026-07-04T23:57:55.087308Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

016b2eb5bc906fc80d4c85039b5a21f9897f2c56942f632563fc2815a1361e76

Aliases

arxiv: 1908.05998 · arxiv_version: 1908.05998v1 · doi: 10.48550/arxiv.1908.05998 · pith_short_12: AFVS5NN4SBX4 · pith_short_16: AFVS5NN4SBX4QDKM · pith_short_8: AFVS5NN4

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/AFVS5NN4SBX4QDKMQUBZWWRB7G \
  | 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: 016b2eb5bc906fc80d4c85039b5a21f9897f2c56942f632563fc2815a1361e76

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c999a9d1ff89f53515fd903540439905af8068a7fd7bb8cdc1df2ad0251a1df6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2019-08-16T14:57:35Z",
    "title_canon_sha256": "033c82ac5ca07967dc74c7e4f77fa73f196e21133b2b53b84349a3ca821d6014"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.05998",
    "kind": "arxiv",
    "version": 1
  }
}