Pith Number

pith:J745MJZC

pith:1998:J745MJZCLXOQOPIB7CMHG7U25H

not attested not anchored not stored refs pending

Symmetric spectra

Brooke Shipley, Jeff Smith, Mark Hovey

arxiv:math/9801077 v2 · 1998-01-16 · 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{J745MJZCLXOQOPIB7CMHG7U25H}

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

Brave new categorical spectral positive Schubert geometry and the categorical Dual Amplituhedron

Receipt and verification

First computed	2026-07-04T14:40:25.358374Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4ff9d627225ddd073d01f898737e9ae9c6fc26b4b29c6bb811e6e55165e904e6

Aliases

arxiv: math/9801077 · arxiv_version: math/9801077v2 · doi: 10.48550/arxiv.math/9801077 · pith_short_12: J745MJZCLXOQ · pith_short_16: J745MJZCLXOQOPIB · pith_short_8: J745MJZC

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/J745MJZCLXOQOPIB7CMHG7U25H \
  | 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: 4ff9d627225ddd073d01f898737e9ae9c6fc26b4b29c6bb811e6e55165e904e6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c429d812800748056ad9d9be93f43a0dfec8d6b06d66ede48a1c77469b86b99e",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AT",
    "submitted_at": "1998-01-16T18:56:03Z",
    "title_canon_sha256": "208dcc59114c416e73d094939f143a0fd2e36f4260e00c8776a0ea47e1e08b3f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9801077",
    "kind": "arxiv",
    "version": 2
  }
}