Pith Number

pith:EGXFGVDW

pith:2009:EGXFGVDW6UJX4KH3TLUML6RUXD

not attested not anchored not stored refs pending

Affine functors and duality

C. Sancho, J. Navarro, P. Sancho

arxiv:0904.2158 v4 · 2009-04-14 · math.AG · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EGXFGVDW6UJX4KH3TLUML6RUXD}

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	2026-05-18T03:56:23.060563Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

21ae535476f5137e28fb9ae8c5fa34b8ee17fa61774cf95304d20602cfd7c6bc

Aliases

arxiv: 0904.2158 · arxiv_version: 0904.2158v4 · doi: 10.48550/arxiv.0904.2158 · pith_short_12: EGXFGVDW6UJX · pith_short_16: EGXFGVDW6UJX4KH3 · pith_short_8: EGXFGVDW

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/EGXFGVDW6UJX4KH3TLUML6RUXD \
  | 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: 21ae535476f5137e28fb9ae8c5fa34b8ee17fa61774cf95304d20602cfd7c6bc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6a565b12273cf38e9e3f34d0314f04196bf56df215322612b32496a019522512",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2009-04-14T17:02:45Z",
    "title_canon_sha256": "06667b548df1200b284c2fbff6c05f7cbb9f9acb9496f731cb4d3da842b1d9eb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0904.2158",
    "kind": "arxiv",
    "version": 4
  }
}