Pith Number

pith:GXUCCLGV

pith:2017:GXUCCLGV77MWIBD7MWV2ADUR5F

not attested not anchored not stored refs pending

Acylindrical actions on projection complexes

Alessandro Sisto, Ken Bromberg, Koji Fujiwara, Mladen Bestvina

arxiv:1711.08722 v1 · 2017-11-23 · 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{GXUCCLGV77MWIBD7MWV2ADUR5F}

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	2026-05-18T00:29:44.303267Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

35e8212cd5ffd964047f65aba00e91e95a962c6c39668149ef77bba65cc0860f

Aliases

arxiv: 1711.08722 · arxiv_version: 1711.08722v1 · doi: 10.48550/arxiv.1711.08722 · pith_short_12: GXUCCLGV77MW · pith_short_16: GXUCCLGV77MWIBD7 · pith_short_8: GXUCCLGV

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/GXUCCLGV77MWIBD7MWV2ADUR5F \
  | 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: 35e8212cd5ffd964047f65aba00e91e95a962c6c39668149ef77bba65cc0860f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "607d542a49737bd3ccc434a92be7fb3ada5f0245d5f74236c12e0c4dd62fdb7b",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2017-11-23T14:56:17Z",
    "title_canon_sha256": "e6f574fe0710fc9082160d7342f282de72e1e4146b100c11536413cff9f3a494"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.08722",
    "kind": "arxiv",
    "version": 1
  }
}