Pith Number

pith:VIBCVZPN

pith:2016:VIBCVZPNRFWCRCMWI4ZDKTE3BL

not attested not anchored not stored refs pending

On functors between categories with colored morphisms

Yasuhide Numata

arxiv:1602.04553 v2 · 2016-02-15 · math.CT · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VIBCVZPNRFWCRCMWI4ZDKTE3BL}

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	2026-05-18T01:04:21.411848Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aa022ae5ed896c2889964732354c9b0ad5bbbb8d7cb01281ca18b6f4406dadc8

Aliases

arxiv: 1602.04553 · arxiv_version: 1602.04553v2 · doi: 10.48550/arxiv.1602.04553 · pith_short_12: VIBCVZPNRFWC · pith_short_16: VIBCVZPNRFWCRCMW · pith_short_8: VIBCVZPN

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/VIBCVZPNRFWCRCMWI4ZDKTE3BL \
  | 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: aa022ae5ed896c2889964732354c9b0ad5bbbb8d7cb01281ca18b6f4406dadc8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "510932ca82dadcd7163d2f6bf63fb0e6848f13d66f9330641c2189eea3b37724",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2016-02-15T02:59:36Z",
    "title_canon_sha256": "1804af87af4a7019c7404aebb9a0403aeff41e30775ed2d9e2923cfa87fe0141"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.04553",
    "kind": "arxiv",
    "version": 2
  }
}