Pith Number

pith:YSAEBVGV

pith:2009:YSAEBVGVZZJ2R5FOL3WVTEWWRE

not attested not anchored not stored refs pending

A categorical approach to cyclic duality

Dragos Stefan, Gabriella B\"ohm

arxiv:0910.4622 v2 · 2009-10-24 · math.KT · 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{YSAEBVGVZZJ2R5FOL3WVTEWWRE}

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	2026-05-18T02:24:46.629293Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c48040d4d5ce53a8f4ae5eed5992d68909eaeaab640801d6d4bf5618602c6947

Aliases

arxiv: 0910.4622 · arxiv_version: 0910.4622v2 · doi: 10.48550/arxiv.0910.4622 · pith_short_12: YSAEBVGVZZJ2 · pith_short_16: YSAEBVGVZZJ2R5FO · pith_short_8: YSAEBVGV

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/YSAEBVGVZZJ2R5FOL3WVTEWWRE \
  | 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: c48040d4d5ce53a8f4ae5eed5992d68909eaeaab640801d6d4bf5618602c6947

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "04e199e6a54a82cc11814f36f314a25a6acd6a42a829d253605e6ff816d72c07",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2009-10-24T05:35:34Z",
    "title_canon_sha256": "ee6d3ed66529b2be3d182a7d848ca66e6e7f915d7144173af6ab55d7d604abd8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0910.4622",
    "kind": "arxiv",
    "version": 2
  }
}