Pith Number

pith:2DFTTHOC

pith:2008:2DFTTHOC634AFRDATVKNQQZEI5

not attested not anchored not stored refs pending

Power operations for Morava E-theory of height 2 at the prime 2

Charles Rezk

arxiv:0812.1320 v1 · 2008-12-06 · 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{2DFTTHOC634AFRDATVKNQQZEI5}

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.

Cited by

1 paper in Pith

Spectral moduli problems for level structures and an integral Jacquet-Langlands dual of Morava E-theory

Receipt and verification

First computed	2026-07-04T15:33:28.117217Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d0cb399dc2f6f802c4609d54d84324474a1c8c9187081a09de9d9bbf378f6c62

Aliases

arxiv: 0812.1320 · arxiv_version: 0812.1320v1 · doi: 10.48550/arxiv.0812.1320 · pith_short_12: 2DFTTHOC634A · pith_short_16: 2DFTTHOC634AFRDA · pith_short_8: 2DFTTHOC

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/2DFTTHOC634AFRDATVKNQQZEI5 \
  | 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: d0cb399dc2f6f802c4609d54d84324474a1c8c9187081a09de9d9bbf378f6c62

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2d9cefd25d173eed9f9ff1dd729a70226cebb570f22605da3d6b686583ce6852",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2008-12-06T23:31:53Z",
    "title_canon_sha256": "5651d0533f3299678b99f458aa8094f40504a32b4dc7d6545872c3942d119dc1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0812.1320",
    "kind": "arxiv",
    "version": 1
  }
}