Pith Number

pith:DE6DWXLH

pith:2024:DE6DWXLHFEGP7Q4QQXZZQGSE4M

not attested not anchored not stored refs pending

The descent spectral sequence for topological modular forms

Christian Carrick, Jack Morgan Davies, Sven van Nigtevecht

arxiv:2412.01640 v2 · 2024-12-02 · 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{DE6DWXLHFEGP7Q4QQXZZQGSE4M}

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	2026-06-12T01:09:06.457768Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

193c3b5d67290cffc39085f3981a44e32f3bb2573ada44a3b6096dbb861e0efb

Aliases

arxiv: 2412.01640 · arxiv_version: 2412.01640v2 · doi: 10.48550/arxiv.2412.01640 · pith_short_12: DE6DWXLHFEGP · pith_short_16: DE6DWXLHFEGP7Q4Q · pith_short_8: DE6DWXLH

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/DE6DWXLHFEGP7Q4QQXZZQGSE4M \
  | 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: 193c3b5d67290cffc39085f3981a44e32f3bb2573ada44a3b6096dbb861e0efb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3112c667b59755aa8dc057b54dfe45429ba358e18992994da1af2f67964cb9bd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2024-12-02T15:50:27Z",
    "title_canon_sha256": "3f0b823fc43ec30b04383d73c8ff18793f49d13be7b26877b02ba796dee10778"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.01640",
    "kind": "arxiv",
    "version": 2
  }
}