Pith Number

pith:DM5X4GKW

pith:2026:DM5X4GKWC7Q4CJ744CJR5OP3EC

not attested not anchored not stored refs pending

Sharp $A_\alpha$-Spectral Conditions for Odd $[1,b]$-Factors When $\alpha>1/2$

Silin Huang

arxiv:2606.00691 v1 · 2026-05-30 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DM5X4GKWC7Q4CJ744CJR5OP3EC}

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	2026-06-02T01:04:02.820846Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1b3b7e195617e1c127fce0931eb9fb208ccd1da95662b74e6bcd0a224b10021c

Aliases

arxiv: 2606.00691 · arxiv_version: 2606.00691v1 · doi: 10.48550/arxiv.2606.00691 · pith_short_12: DM5X4GKWC7Q4 · pith_short_16: DM5X4GKWC7Q4CJ74 · pith_short_8: DM5X4GKW

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/DM5X4GKWC7Q4CJ744CJR5OP3EC \
  | 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: 1b3b7e195617e1c127fce0931eb9fb208ccd1da95662b74e6bcd0a224b10021c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "073eeda251d04a4fb513f923222a78a4fdb83255951b188972d1cb07ae136e03",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-05-30T12:00:32Z",
    "title_canon_sha256": "5227813711313908a4dac33eb6d5c6fa3fc5925c0b1b8dc1d07c79d20db70f00"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.00691",
    "kind": "arxiv",
    "version": 1
  }
}