Pith Number

pith:ORDSB5Y7

pith:2014:ORDSB5Y7K46IAFH2RWXMGCNTFP

not attested not anchored not stored refs pending

On the one-endedness of graphs of groups

Nicholas Touikan

arxiv:1403.6452 v2 · 2014-03-25 · math.GR · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ORDSB5Y7K46IAFH2RWXMGCNTFP}

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	2026-05-18T01:22:24.191302Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

744720f71f573c8014fa8daec309b32bdeb71fd019a5bb9e00f7ce467fc3c0f5

Aliases

arxiv: 1403.6452 · arxiv_version: 1403.6452v2 · doi: 10.48550/arxiv.1403.6452 · pith_short_12: ORDSB5Y7K46I · pith_short_16: ORDSB5Y7K46IAFH2 · pith_short_8: ORDSB5Y7

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/ORDSB5Y7K46IAFH2RWXMGCNTFP \
  | 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: 744720f71f573c8014fa8daec309b32bdeb71fd019a5bb9e00f7ce467fc3c0f5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e16338cd9a3e973fd89c8c7faa1e47b668c6002851b7f78d142d26414e167285",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2014-03-25T18:56:16Z",
    "title_canon_sha256": "0b81f3b694acd8b77778b451949946589dc44838542fc2e24d9e23ce2f0a38c9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.6452",
    "kind": "arxiv",
    "version": 2
  }
}