Pith Number

pith:4OTB6HN7

pith:2005:4OTB6HN7TVZI5KPE54KQ53UAQ4

not attested not anchored not stored refs pending

A note on the composition product of symmetric sequences

Michael Ching

arxiv:math/0510490 v2 · 2005-10-23 · math.CT · 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{4OTB6HN7TVZI5KPE54KQ53UAQ4}

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	2026-05-18T03:58:38.546907Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e3a61f1dbf9d728ea9e4ef150eee8087345862c93456ba59901f010f82519e26

Aliases

arxiv: math/0510490 · arxiv_version: math/0510490v2 · doi: 10.48550/arxiv.math/0510490 · pith_short_12: 4OTB6HN7TVZI · pith_short_16: 4OTB6HN7TVZI5KPE · pith_short_8: 4OTB6HN7

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/4OTB6HN7TVZI5KPE54KQ53UAQ4 \
  | 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: e3a61f1dbf9d728ea9e4ef150eee8087345862c93456ba59901f010f82519e26

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6ef72eb80a9b5f15b5e8d5ca477c487f2d1d68b4837e7fb661e6fce25db118df",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2005-10-23T19:26:06Z",
    "title_canon_sha256": "32b114728aa429328fe251f0a089b362450f28e3bbb70c4f35f79090850f8a78"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0510490",
    "kind": "arxiv",
    "version": 2
  }
}