Pith Number

pith:PO7A4ZTY

pith:2015:PO7A4ZTYVNALVUFB5DADDCVT2S

not attested not anchored not stored refs pending

On the ring of cooperations for 2-primary connective topological modular forms

Kyle Ormsby, Mark Behrens, Nathaniel Stapleton, Vesna Stojanoska

arxiv:1501.01050 v4 · 2015-01-06 · 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{PO7A4ZTYVNALVUFB5DADDCVT2S}

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	2026-05-17T23:51:35.032149Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7bbe0e6678ab40bad0a1e8c0318ab3d4ad5e79c3b05fc59402b2af232e2ef9d7

Aliases

arxiv: 1501.01050 · arxiv_version: 1501.01050v4 · doi: 10.48550/arxiv.1501.01050 · pith_short_12: PO7A4ZTYVNAL · pith_short_16: PO7A4ZTYVNALVUFB · pith_short_8: PO7A4ZTY

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/PO7A4ZTYVNALVUFB5DADDCVT2S \
  | 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: 7bbe0e6678ab40bad0a1e8c0318ab3d4ad5e79c3b05fc59402b2af232e2ef9d7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "51b03ea978fe58e6d0341345be7f84c536476c43f7ca66d81418ad4ed9df8f38",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2015-01-06T01:02:00Z",
    "title_canon_sha256": "e3ebf95320af5ed5fb7621c52062a19c63a41dd0e1ad2ecd80ff24c104ed6a9b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.01050",
    "kind": "arxiv",
    "version": 4
  }
}