Pith Number

pith:PDE4Q2CR

pith:2015:PDE4Q2CRYTTGFFZ5JVVAA7IDFF

not attested not anchored not stored refs pending

Problems on neat embeddings solved by rainbow constructions and Monk algebras

Tarek Sayed Ahmed

arxiv:1502.07701 v1 · 2015-02-03 · math.LO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PDE4Q2CRYTTGFFZ5JVVAA7IDFF}

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	2026-05-18T02:26:03.101846Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

78c9c86851c4e662973d4d6a007d03297816e6f7bf4ae703de92afa71eba89bd

Aliases

arxiv: 1502.07701 · arxiv_version: 1502.07701v1 · doi: 10.48550/arxiv.1502.07701 · pith_short_12: PDE4Q2CRYTTG · pith_short_16: PDE4Q2CRYTTGFFZ5 · pith_short_8: PDE4Q2CR

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/PDE4Q2CRYTTGFFZ5JVVAA7IDFF \
  | 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: 78c9c86851c4e662973d4d6a007d03297816e6f7bf4ae703de92afa71eba89bd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e39f8e8ddb517f15ba5334fc8ec43bd9d44ba12ca7d65c32e3c26d4fd87c7171",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2015-02-03T02:19:37Z",
    "title_canon_sha256": "0d5db3d0d51d4903633f5737c19a632bed4daac93e7ac2db9b1677c77b7554ac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.07701",
    "kind": "arxiv",
    "version": 1
  }
}