Pith Number

pith:G5AHPLQE

pith:2016:G5AHPLQEQ4ACJEG3GSODTAIOGW

not attested not anchored not stored refs pending

Quasi-isometries Between Groups with Two-Ended Splittings

Alexandre Martin, Christopher H. Cashen

arxiv:1601.07147 v1 · 2016-01-26 · 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{G5AHPLQEQ4ACJEG3GSODTAIOGW}

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	2026-05-18T00:46:55.833665Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

374077ae0487002490db349c39810e35b65d472b34f12fac67202a5717652e97

Aliases

arxiv: 1601.07147 · arxiv_version: 1601.07147v1 · doi: 10.48550/arxiv.1601.07147 · pith_short_12: G5AHPLQEQ4AC · pith_short_16: G5AHPLQEQ4ACJEG3 · pith_short_8: G5AHPLQE

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/G5AHPLQEQ4ACJEG3GSODTAIOGW \
  | 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: 374077ae0487002490db349c39810e35b65d472b34f12fac67202a5717652e97

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8be2a40509c946bfce60705bcb7b3a4bd27d596b321aad80b5ed32e1bf1611c7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2016-01-26T20:06:59Z",
    "title_canon_sha256": "c8f7c59feea831c2d1e61ab7cf82f269bdf39435b2f815c0aa574bafed4b89bb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.07147",
    "kind": "arxiv",
    "version": 1
  }
}