Pith. sign in
Pith Number

pith:22MC7E55

pith:2006:22MC7E55PDNCHIT7W2X3T6PT7C
not attested not anchored not stored refs pending

Filling functions

T.R.Riley

arxiv:math/0603059 v3 · 2006-03-02 · math.GR

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{22MC7E55PDNCHIT7W2X3T6PT7C}

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

Receipt and verification
First computed 2026-05-18T04:42:22.399023Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

d6982f93bd78da23a27fb6afb9f9f3f893a97189fc1fc18ed1dd9e84507ae433

Aliases

arxiv: math/0603059 · arxiv_version: math/0603059v3 · doi: 10.48550/arxiv.math/0603059 · pith_short_12: 22MC7E55PDNC · pith_short_16: 22MC7E55PDNCHIT7 · pith_short_8: 22MC7E55
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/22MC7E55PDNCHIT7W2X3T6PT7C \
  | 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: d6982f93bd78da23a27fb6afb9f9f3f893a97189fc1fc18ed1dd9e84507ae433
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "36773ae82f256d5c980564b98e5ff31105942f7caec2a5eb0dbd0b81acc22e4d",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.GR",
    "submitted_at": "2006-03-02T20:55:15Z",
    "title_canon_sha256": "25e21e7f9f64edadc9fe37e2b8570227943b15f2f1919ccf3fc1debbae5c4971"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0603059",
    "kind": "arxiv",
    "version": 3
  }
}