Pith Number

pith:PSZ6C4OG

pith:2009:PSZ6C4OG6F3VKLICQEVNSJUIF3

not attested not anchored not stored refs pending

Symmetric powers in abstract homotopy categories

Sergey Gorchinskiy, Vladimir Guletskii

arxiv:0907.0730 v4 · 2009-07-03 · math.AG · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PSZ6C4OG6F3VKLICQEVNSJUIF3}

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	2026-05-18T00:19:59.801338Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7cb3e171c6f177552d02812ad926882ec3f1b47628df37e56654f77735bc8128

Aliases

arxiv: 0907.0730 · arxiv_version: 0907.0730v4 · doi: 10.48550/arxiv.0907.0730 · pith_short_12: PSZ6C4OG6F3V · pith_short_16: PSZ6C4OG6F3VKLIC · pith_short_8: PSZ6C4OG

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/PSZ6C4OG6F3VKLICQEVNSJUIF3 \
  | 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: 7cb3e171c6f177552d02812ad926882ec3f1b47628df37e56654f77735bc8128

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6de0fb26cd76375d460a9b548d14ab45a536f8ee01377d989b77de0dd3f43721",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2009-07-03T23:26:04Z",
    "title_canon_sha256": "3eab768c7d98d441647cdfe806c22f8f92ca0d9543c659e5fdb2e4c60340b119"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0907.0730",
    "kind": "arxiv",
    "version": 4
  }
}