Pith Number

pith:EVU2OMA5

pith:2017:EVU2OMA5NKYMQCCQ2FXRA3PYI6

not attested not anchored not stored refs pending

Vanishing lines for modules over the motivic Steenrod algebra

Achim Krause, Drew Heard

arxiv:1702.03683 v2 · 2017-02-13 · 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{EVU2OMA5NKYMQCCQ2FXRA3PYI6}

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	2026-05-18T00:22:29.511042Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2569a7301d6ab0c80850d16f106df8479518e1b7ea5666c8f729c8f0bfd70a68

Aliases

arxiv: 1702.03683 · arxiv_version: 1702.03683v2 · doi: 10.48550/arxiv.1702.03683 · pith_short_12: EVU2OMA5NKYM · pith_short_16: EVU2OMA5NKYMQCCQ · pith_short_8: EVU2OMA5

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/EVU2OMA5NKYMQCCQ2FXRA3PYI6 \
  | 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: 2569a7301d6ab0c80850d16f106df8479518e1b7ea5666c8f729c8f0bfd70a68

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c407367477e801ea5740cf3fe37a5c10489c510b76761362639d8ad6cd0d2dd8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2017-02-13T09:28:51Z",
    "title_canon_sha256": "eec01c14f7463587384c633dfbb7bc5094a877f80cfbc9230d710ba5ae91aba9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.03683",
    "kind": "arxiv",
    "version": 2
  }
}