Pith Number

pith:TJG56H33

pith:2015:TJG56H33MLF3BCCRRHYECTFBWR

not attested not anchored not stored refs pending

Some Aspects of Equivariant LS-category

Marzieh Bayeh, Soumen Sarkar

arxiv:1502.02586 v2 · 2015-02-09 · 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{TJG56H33MLF3BCCRRHYECTFBWR}

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	2026-05-18T01:04:01.370604Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9a4ddf1f7b62cbb0885189f0414ca1b4709db0a57796d4c75743709f83b420c5

Aliases

arxiv: 1502.02586 · arxiv_version: 1502.02586v2 · doi: 10.48550/arxiv.1502.02586 · pith_short_12: TJG56H33MLF3 · pith_short_16: TJG56H33MLF3BCCR · pith_short_8: TJG56H33

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/TJG56H33MLF3BCCRRHYECTFBWR \
  | 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: 9a4ddf1f7b62cbb0885189f0414ca1b4709db0a57796d4c75743709f83b420c5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2f0363ee42c6f4acb3eb96ce1608cf62376901810d98f679a5c5755aacad21d4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2015-02-09T18:14:30Z",
    "title_canon_sha256": "151270ccdac50fdb54d5dee7b4ceb8f0f602f8189d11d7aab2738ba14b574eb1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.02586",
    "kind": "arxiv",
    "version": 2
  }
}