Pith Number

pith:PL67NYYW

pith:2011:PL67NYYWJDGMW7APAVRJDZP6IY

not attested not anchored not stored refs pending

Peripheral structures of relatively hyperbolic groups

Wenyuan Yang

arxiv:1101.2990 v3 · 2011-01-15 · 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{PL67NYYWJDGMW7APAVRJDZP6IY}

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	2026-05-18T04:08:24.373462Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7afdf6e31648cccb7c0f056291e5fe4629bcfa4e87c7b73445bead3544085483

Aliases

arxiv: 1101.2990 · arxiv_version: 1101.2990v3 · doi: 10.48550/arxiv.1101.2990 · pith_short_12: PL67NYYWJDGM · pith_short_16: PL67NYYWJDGMW7AP · pith_short_8: PL67NYYW

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/PL67NYYWJDGMW7APAVRJDZP6IY \
  | 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: 7afdf6e31648cccb7c0f056291e5fe4629bcfa4e87c7b73445bead3544085483

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bd1d313beaef03c62824fddb08457b39f0d9c940e50f501774e0dc23d00049a8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2011-01-15T14:30:37Z",
    "title_canon_sha256": "57adb0b139327c8c582d6af97ef843a863bbf2cd82b3d6bbc4c024df1a1b70b1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.2990",
    "kind": "arxiv",
    "version": 3
  }
}