Pith Number

pith:P2MMMGIE

pith:2015:P2MMMGIE6MCKW4MIFXVWOULXEL

not attested not anchored not stored refs pending

The Tate spectrum of the higher real $K$-theories at height $n=p-1$

Drew Heard

arxiv:1501.07759 v2 · 2015-01-30 · 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{P2MMMGIE6MCKW4MIFXVWOULXEL}

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	2026-05-18T02:21:51.321932Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7e98c61904f304ab71882deb67517722edae95670da04ae1bc538e68eb6efe1d

Aliases

arxiv: 1501.07759 · arxiv_version: 1501.07759v2 · doi: 10.48550/arxiv.1501.07759 · pith_short_12: P2MMMGIE6MCK · pith_short_16: P2MMMGIE6MCKW4MI · pith_short_8: P2MMMGIE

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/P2MMMGIE6MCKW4MIFXVWOULXEL \
  | 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: 7e98c61904f304ab71882deb67517722edae95670da04ae1bc538e68eb6efe1d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "20409b35dc0b2b7bfdf3bb3f77f6726d7ce744e1df9abc6182c8dcda024c0316",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2015-01-30T12:53:02Z",
    "title_canon_sha256": "a1ebec794859c9950ac8ffe17f257ad225b384523f315e497b3a66b276e824b8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.07759",
    "kind": "arxiv",
    "version": 2
  }
}