Pith Number

pith:HODAHNVH

pith:2023:HODAHNVHQ3XRW5P5D77B6TFYPY

not attested not anchored not stored refs pending

On the automorphism groups of hyperbolic manifolds

David Gabai, Ryan Budney

arxiv:2303.05010 v1 · 2023-03-09 · 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{HODAHNVHQ3XRW5P5D77B6TFYPY}

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.

Cited by

1 paper in Pith

Survey on the Farrell-Jones Conjecture

Receipt and verification

First computed	2026-07-05T10:45:49.183410Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3b8603b6a786ef1b75fd1ffe1f4cb87e343faea56124a00aefabac75043a52bd

Aliases

arxiv: 2303.05010 · arxiv_version: 2303.05010v1 · doi: 10.48550/arxiv.2303.05010 · pith_short_12: HODAHNVHQ3XR · pith_short_16: HODAHNVHQ3XRW5P5 · pith_short_8: HODAHNVH

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/HODAHNVHQ3XRW5P5D77B6TFYPY \
  | 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: 3b8603b6a786ef1b75fd1ffe1f4cb87e343faea56124a00aefabac75043a52bd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "59906fb16f350e8ea26a022fc582017ffce644e42067014cb7d21795fdd2a726",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2023-03-09T03:23:22Z",
    "title_canon_sha256": "06cb580f1329c4fcf4134bb30f08ec5f91ef6a591cec812edd03f8148dbb55ef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2303.05010",
    "kind": "arxiv",
    "version": 1
  }
}