Pith Number

pith:JNVCZA52

pith:2012:JNVCZA525KI452OEYDMK5YIS6M

not attested not anchored not stored refs pending

On Hopkins' Picard groups for the prime 3 and chromatic level 2

Charles Rezk, Hans-Werner Henn, Mark Mahowald, Paul Goerss

arxiv:1210.7033 v3 · 2012-10-26 · 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{JNVCZA525KI452OEYDMK5YIS6M}

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	2026-05-18T01:53:27.448433Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4b6a2c83baea91cee9c4c0d8aee112f306598b5150d221a89d083bc19ea13b47

Aliases

arxiv: 1210.7033 · arxiv_version: 1210.7033v3 · doi: 10.48550/arxiv.1210.7033 · pith_short_12: JNVCZA525KI4 · pith_short_16: JNVCZA525KI452OE · pith_short_8: JNVCZA52

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/JNVCZA525KI452OEYDMK5YIS6M \
  | 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: 4b6a2c83baea91cee9c4c0d8aee112f306598b5150d221a89d083bc19ea13b47

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c6782f6cc898b96bb007194c2f27875311db26ad7e6598c46cf27838bad53eae",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2012-10-26T01:08:06Z",
    "title_canon_sha256": "201b6d1ee554e16326b4504a77d75dac84bbc65873bf6ed7be2c432f1ff4deec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.7033",
    "kind": "arxiv",
    "version": 3
  }
}