Pith Number

pith:XYCE6MEG

pith:2012:XYCE6MEGSDL37XLIXLM3BTMH54

not attested not anchored not stored refs pending

The projective geometry of a group

Wolfgang Bertram (IECN)

arxiv:1201.6201 v1 · 2012-01-30 · 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{XYCE6MEGSDL37XLIXLM3BTMH54}

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	2026-05-18T04:03:33.428649Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

be044f308690d7bfdd68bad9b0cd87ef32bac1cb40e0116a101cb90b2a8ebcce

Aliases

arxiv: 1201.6201 · arxiv_version: 1201.6201v1 · doi: 10.48550/arxiv.1201.6201 · pith_short_12: XYCE6MEGSDL3 · pith_short_16: XYCE6MEGSDL37XLI · pith_short_8: XYCE6MEG

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/XYCE6MEGSDL37XLIXLM3BTMH54 \
  | 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: be044f308690d7bfdd68bad9b0cd87ef32bac1cb40e0116a101cb90b2a8ebcce

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7474231a6cf7850d4807a023c31cf4046bc3ab92fec28bf0f5c5137b4f6c19b2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2012-01-30T13:33:09Z",
    "title_canon_sha256": "673e769c4db297253064d850f6d080c104eb43cefd66f2bdb5499b20c7b37c2b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.6201",
    "kind": "arxiv",
    "version": 1
  }
}