Pith Number

pith:XNFAXE3H

pith:2017:XNFAXE3HFNUGLWF2C2DRHINQHT

not attested not anchored not stored refs pending

On negatively curved bundles with hyperbolic fibers outside the Igusa stable range

Francis Thomas Farrell, Mauricio Bustamante, Yi Jiang

arxiv:1711.11404 v2 · 2017-11-30 · math.GT · math.AT · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XNFAXE3HFNUGLWF2C2DRHINQHT}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T00:16:08.267874Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bb4a0b93672b6865d8ba168713a1b03cf74cbbcde8d53fd54b1c728f0cba437b

Aliases

arxiv: 1711.11404 · arxiv_version: 1711.11404v2 · doi: 10.48550/arxiv.1711.11404 · pith_short_12: XNFAXE3HFNUG · pith_short_16: XNFAXE3HFNUGLWF2 · pith_short_8: XNFAXE3H

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/XNFAXE3HFNUGLWF2C2DRHINQHT \
  | 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: bb4a0b93672b6865d8ba168713a1b03cf74cbbcde8d53fd54b1c728f0cba437b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0a8ec9e3cb0d1f4bfdad4b68d65a3e38406c006f267d742ac8070805c65984c7",
    "cross_cats_sorted": [
      "math.AT",
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2017-11-30T14:08:58Z",
    "title_canon_sha256": "dc8a454c1dde34e8998efafd481854352fcffd17a3fd28722c63a30415ffc8dc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.11404",
    "kind": "arxiv",
    "version": 2
  }
}