Pith Number

pith:VRH6Q7ZI

pith:2013:VRH6Q7ZI4CNQWIICUG6ILFAHGO

not attested not anchored not stored refs pending

Foundations of Garside Theory

Daan Krammer, Eddy Godelle (LMNO), Francois Digne (LAMFA), Jean Michel (IMJ), Patrick Dehornoy (LMNO)

arxiv:1309.0796 v1 · 2013-09-03 · 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{VRH6Q7ZI4CNQWIICUG6ILFAHGO}

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.

Cited by

1 paper in Pith

Directed Homotopy in Non-Positively Curved Spaces

Receipt and verification

First computed	2026-07-05T01:53:05.006228Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ac4fe87f28e09b0b2102a1bc8594073389689ee2a263cbd970a88636e66b7f81

Aliases

arxiv: 1309.0796 · arxiv_version: 1309.0796v1 · doi: 10.48550/arxiv.1309.0796 · pith_short_12: VRH6Q7ZI4CNQ · pith_short_16: VRH6Q7ZI4CNQWIIC · pith_short_8: VRH6Q7ZI

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/VRH6Q7ZI4CNQWIICUG6ILFAHGO \
  | 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: ac4fe87f28e09b0b2102a1bc8594073389689ee2a263cbd970a88636e66b7f81

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d1b68a57b407cb6f1cbdeb9d75ad3cfe8397317572785d71e609088bf13a3c89",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2013-09-03T19:36:16Z",
    "title_canon_sha256": "a4fda080ef27877642429c4b4d4973e2108f349542006d44152694925c1f0277"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.0796",
    "kind": "arxiv",
    "version": 1
  }
}