Pith Number

pith:PYMDGDTF

pith:2017:PYMDGDTFHIMMRY4NJA6OONCURV

not attested not anchored not stored refs pending

A special class of congruences on $\kappa$-frames

Graham Manuell

arxiv:1705.07085 v1 · 2017-05-19 · math.RA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PYMDGDTFHIMMRY4NJA6OONCURV}

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	2026-05-17T23:53:52.264816Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7e18330e653a18c8e38d483ce734548d7a8a10ed80f0275f9128faf065838a61

Aliases

arxiv: 1705.07085 · arxiv_version: 1705.07085v1 · doi: 10.48550/arxiv.1705.07085 · pith_short_12: PYMDGDTFHIMM · pith_short_16: PYMDGDTFHIMMRY4N · pith_short_8: PYMDGDTF

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/PYMDGDTFHIMMRY4NJA6OONCURV \
  | 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: 7e18330e653a18c8e38d483ce734548d7a8a10ed80f0275f9128faf065838a61

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c446c2fc68ea6e40d1298e39639700f3e55a269d1f8fa439a661653e509637e1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2017-05-19T16:51:30Z",
    "title_canon_sha256": "8f1df1bdde1aac3a300474759bbd0d78d5cce986f839948ba624f69e4a6fcf55"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.07085",
    "kind": "arxiv",
    "version": 1
  }
}