Pith Number

pith:YYSJTX7N

pith:2015:YYSJTX7NQ2K4O4YI6LRFRY7NSS

not attested not anchored not stored refs pending

The Structure of Motivic Homotopy Groups

Bogdan Gheorghe, Daniel C. Isaksen

arxiv:1505.01476 v1 · 2015-05-06 · 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{YYSJTX7NQ2K4O4YI6LRFRY7NSS}

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	2026-05-18T02:16:49.162724Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c62499dfed8695c77308f2e258e3ed94941e2db71d47d6cf2ad3fa93e3132005

Aliases

arxiv: 1505.01476 · arxiv_version: 1505.01476v1 · doi: 10.48550/arxiv.1505.01476 · pith_short_12: YYSJTX7NQ2K4 · pith_short_16: YYSJTX7NQ2K4O4YI · pith_short_8: YYSJTX7N

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/YYSJTX7NQ2K4O4YI6LRFRY7NSS \
  | 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: c62499dfed8695c77308f2e258e3ed94941e2db71d47d6cf2ad3fa93e3132005

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "11242d95de3329f8294ac24aaa2b229fc2a7239e5e00cf0dda2c47c7444730ad",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2015-05-06T19:51:58Z",
    "title_canon_sha256": "093af37da34bb577e54fab38d3863f897f92bc2d79f60a700cf050814f22e858"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.01476",
    "kind": "arxiv",
    "version": 1
  }
}