Pith Number

pith:KRIBPROB

pith:2010:KRIBPROBEN4XEZCXXIAVFFXQ3D

not attested not anchored not stored refs pending

Four problems regarding representable functors

Gigel Militaru

arxiv:1005.0156 v3 · 2010-05-02 · math.RA · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KRIBPROBEN4XEZCXXIAVFFXQ3D}

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	2026-05-18T02:24:09.385759Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

545017c5c12379726457ba015296f0d8d73ba6926f43fc66a9daeb622a34f6e8

Aliases

arxiv: 1005.0156 · arxiv_version: 1005.0156v3 · doi: 10.48550/arxiv.1005.0156 · pith_short_12: KRIBPROBEN4X · pith_short_16: KRIBPROBEN4XEZCX · pith_short_8: KRIBPROB

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/KRIBPROBEN4XEZCXXIAVFFXQ3D \
  | 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: 545017c5c12379726457ba015296f0d8d73ba6926f43fc66a9daeb622a34f6e8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f03ba3c0664fd6c289805376f653819295c78d799b45993dafc4bb22b94c6e1f",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2010-05-02T19:23:52Z",
    "title_canon_sha256": "0a22492e41a01d0f46d79f16401fe178d75dc5efaf142b9260727bcbe80abcb8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1005.0156",
    "kind": "arxiv",
    "version": 3
  }
}