Pith Number

pith:HE2P7CPI

pith:2026:HE2P7CPI37KPREVPGU2NLYL7QP

not attested not anchored not stored refs pending

Shi-type estimates and finite-time singularities of reasonable flows of Spin(7)-structures

Joseph Duthie

arxiv:2605.31334 v1 · 2026-05-29 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HE2P7CPI37KPREVPGU2NLYL7QP}

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	2026-06-01T02:03:59.195001Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3934ff89e8dfd4f892af3534d5e17f83f7008cd45670d95804834e75a01d2902

Aliases

arxiv: 2605.31334 · arxiv_version: 2605.31334v1 · doi: 10.48550/arxiv.2605.31334 · pith_short_12: HE2P7CPI37KP · pith_short_16: HE2P7CPI37KPREVP · pith_short_8: HE2P7CPI

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/HE2P7CPI37KPREVPGU2NLYL7QP \
  | 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: 3934ff89e8dfd4f892af3534d5e17f83f7008cd45670d95804834e75a01d2902

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "814f434c8e9e83e6c879901ffee63e5b8c2643d964366796da07fab5ecd0d02d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2026-05-29T14:14:14Z",
    "title_canon_sha256": "c00e3567af50c19a066aa56b28d636346cd3e62de5e2be41d99a4fd57d2d8da7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.31334",
    "kind": "arxiv",
    "version": 1
  }
}