Pith Number

pith:2J7AWLPH

pith:2017:2J7AWLPHQYIPWW5MIXP57QK7LU

not attested not anchored not stored refs pending

Rank and Nielsen equivalence in hyperbolic extensions

Samuel J. Taylor, Spencer Dowdall

arxiv:1706.02368 v2 · 2017-06-07 · math.GT · 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{2J7AWLPHQYIPWW5MIXP57QK7LU}

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	2026-05-17T23:57:50.996966Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d27e0b2de78610fb5bac45dfdfc15f5d1612fee9dd7c1a8ea9cc78bda828a9e4

Aliases

arxiv: 1706.02368 · arxiv_version: 1706.02368v2 · doi: 10.48550/arxiv.1706.02368 · pith_short_12: 2J7AWLPHQYIP · pith_short_16: 2J7AWLPHQYIPWW5M · pith_short_8: 2J7AWLPH

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/2J7AWLPHQYIPWW5MIXP57QK7LU \
  | 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: d27e0b2de78610fb5bac45dfdfc15f5d1612fee9dd7c1a8ea9cc78bda828a9e4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3a934480457cabd3c3ca399406207a32b1f4fda53f99f20e63cbb2cff3ad2fa3",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2017-06-07T20:12:42Z",
    "title_canon_sha256": "d90ab96fc1a6b688255c07f708d91827ab2c19d096d8e1f22fbce34b867fc4bd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.02368",
    "kind": "arxiv",
    "version": 2
  }
}