Pith Number

pith:H46DSAEW

pith:2026:H46DSAEWNE2ZWRRZ64X7EW5RID

not attested not anchored not stored refs pending

Homotopy theories via the magnitude-path spectral sequence

Emily Roff, Muriel Livernet, Sarah Whitehouse

arxiv:2606.09747 v1 · 2026-06-08 · math.AT · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{H46DSAEWNE2ZWRRZ64X7EW5RID}

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	2026-06-09T02:09:07.379943Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3f3c39009669359b4639f72ff25bb140ccd9660e90e02db275d1d9aab8c296be

Aliases

arxiv: 2606.09747 · arxiv_version: 2606.09747v1 · doi: 10.48550/arxiv.2606.09747 · pith_short_12: H46DSAEWNE2Z · pith_short_16: H46DSAEWNE2ZWRRZ · pith_short_8: H46DSAEW

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/H46DSAEWNE2ZWRRZ64X7EW5RID \
  | 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: 3f3c39009669359b4639f72ff25bb140ccd9660e90e02db275d1d9aab8c296be

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c860c8e0328d5bffe1823543e98fadfc17d2977bd98f5b20ee5bfe46f0cd0d96",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2026-06-08T17:07:00Z",
    "title_canon_sha256": "365570b6127912ee486ef53de19c9778db83740266711374a9460465f4c402c8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.09747",
    "kind": "arxiv",
    "version": 1
  }
}