Pith Number

pith:IFPYBAGQ

pith:2016:IFPYBAGQ3GGH4GXESG3LG2PG32

not attested not anchored not stored refs pending

Universal deformation rings, endo-trivial modules, and semidihedral and generalized quaternion 2-groups

Frauke M. Bleher, Roberto C. Soto, Ted Chinburg

arxiv:1612.03703 v2 · 2016-12-12 · 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{IFPYBAGQ3GGH4GXESG3LG2PG32}

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	2026-05-17T23:51:00.435845Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

415f8080d0d98c7e1ae491b6b369e6de887d84522c93bd420f4780d42f6cddfd

Aliases

arxiv: 1612.03703 · arxiv_version: 1612.03703v2 · doi: 10.48550/arxiv.1612.03703 · pith_short_12: IFPYBAGQ3GGH · pith_short_16: IFPYBAGQ3GGH4GXE · pith_short_8: IFPYBAGQ

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/IFPYBAGQ3GGH4GXESG3LG2PG32 \
  | 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: 415f8080d0d98c7e1ae491b6b369e6de887d84522c93bd420f4780d42f6cddfd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b54fae3309d41e9f2e4027b236af37d1ef0a99bf9585621f12bc3a8d744bac12",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2016-12-12T14:26:35Z",
    "title_canon_sha256": "a3a38fa31b892da4aa8cd4e9d1e500644f3e7fed0090a6ff45fb6c53726e4633"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.03703",
    "kind": "arxiv",
    "version": 2
  }
}