Pith Number

pith:VJRQHO5D

pith:2016:VJRQHO5DBJBBEA3UANBEXNH2ND

not attested not anchored not stored refs pending

Groups and polytopes

Stefan Friedl, Stephan Tillmann, Wolfgang L\"uck

arxiv:1611.01857 v1 · 2016-11-06 · 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{VJRQHO5DBJBBEA3UANBEXNH2ND}

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	2026-05-18T01:00:04.316336Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aa6303bba30a4212037403424bb4fa68d3b0c6add9b6b60ad7517be101e23e8e

Aliases

arxiv: 1611.01857 · arxiv_version: 1611.01857v1 · doi: 10.48550/arxiv.1611.01857 · pith_short_12: VJRQHO5DBJBB · pith_short_16: VJRQHO5DBJBBEA3U · pith_short_8: VJRQHO5D

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/VJRQHO5DBJBBEA3UANBEXNH2ND \
  | 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: aa6303bba30a4212037403424bb4fa68d3b0c6add9b6b60ad7517be101e23e8e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5378c2f0112cfe3f53c7f68b0aebb0dfb1c53e7fc62b5f2f78d6178ca5602266",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2016-11-06T22:26:26Z",
    "title_canon_sha256": "61382fa4acaadd5843d2a4890025be8632341f674f5eaa69a96bee020248fb8c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.01857",
    "kind": "arxiv",
    "version": 1
  }
}