Pith Number

pith:ZZJB4KFA

pith:2017:ZZJB4KFAON5TAA6TXHZ4TUMB6X

not attested not anchored not stored refs pending

On the bordification of outer space

Kai-Uwe Bux, Karen Vogtmann, Peter Smillie

arxiv:1709.01296 v2 · 2017-09-05 · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZZJB4KFAON5TAA6TXHZ4TUMB6X}

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	2026-05-18T00:19:26.973101Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ce521e28a0737b3003d3b9f3c9d181f5fd12e065cffff06ae66435cbe20180ac

Aliases

arxiv: 1709.01296 · arxiv_version: 1709.01296v2 · doi: 10.48550/arxiv.1709.01296 · pith_short_12: ZZJB4KFAON5T · pith_short_16: ZZJB4KFAON5TAA6T · pith_short_8: ZZJB4KFA

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/ZZJB4KFAON5TAA6TXHZ4TUMB6X \
  | 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: ce521e28a0737b3003d3b9f3c9d181f5fd12e065cffff06ae66435cbe20180ac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3d91e3e3534e54544a91643a51fbe66a231dcd8feb40178f9523b70965f67636",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2017-09-05T09:13:16Z",
    "title_canon_sha256": "e9af3a81a6757d227679a60fb8a457e4431778e1ebe3c5132bf4cb6e1237755c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.01296",
    "kind": "arxiv",
    "version": 2
  }
}