Pith Number

pith:U57XP6RG

pith:2017:U57XP6RG5NF6EBAFFUX7UI3FFX

not attested not anchored not stored refs pending

Recent progress in the Zimmer program

David Fisher

arxiv:1711.07089 v2 · 2017-11-19 · math.DS · math.DG · math.GR · 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{U57XP6RG5NF6EBAFFUX7UI3FFX}

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	2026-05-17T23:52:55.936479Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a77f77fa26eb4be204052d2ffa23652deb5d11377f0aa429ceb267e674850595

Aliases

arxiv: 1711.07089 · arxiv_version: 1711.07089v2 · doi: 10.48550/arxiv.1711.07089 · pith_short_12: U57XP6RG5NF6 · pith_short_16: U57XP6RG5NF6EBAF · pith_short_8: U57XP6RG

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/U57XP6RG5NF6EBAFFUX7UI3FFX \
  | 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: a77f77fa26eb4be204052d2ffa23652deb5d11377f0aa429ceb267e674850595

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "16a84610bdf6a0946ca7cb455512fe7f52dea082332c373a2325ed41deb231cc",
    "cross_cats_sorted": [
      "math.DG",
      "math.GR",
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2017-11-19T21:58:17Z",
    "title_canon_sha256": "a0340f17f8e27d139458f12992031201966e4f0b4abf24aa75f4ac5b6380b387"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.07089",
    "kind": "arxiv",
    "version": 2
  }
}