Pith Number

pith:KPCOKPBD

pith:2015:KPCOKPBDOT3JPPIYWAA3RHBQKV

not attested not anchored not stored refs pending

Semi-continuity for total dimension divisors of \'etale sheaves

Enlin Yang, Haoyu Hu

arxiv:1511.04866 v2 · 2015-11-16 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KPCOKPBDOT3JPPIYWAA3RHBQKV}

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	2026-05-18T01:22:50.292395Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

53c4e53c2374f697bd18b001b89c3055588ba86bc1c2bbcd46f655f0966c65f0

Aliases

arxiv: 1511.04866 · arxiv_version: 1511.04866v2 · doi: 10.48550/arxiv.1511.04866 · pith_short_12: KPCOKPBDOT3J · pith_short_16: KPCOKPBDOT3JPPIY · pith_short_8: KPCOKPBD

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/KPCOKPBDOT3JPPIYWAA3RHBQKV \
  | 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: 53c4e53c2374f697bd18b001b89c3055588ba86bc1c2bbcd46f655f0966c65f0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "371b78150b91538434fa652b5a992a08c81ff7a0cd0aec6c6a594b7217993f12",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-11-16T08:53:21Z",
    "title_canon_sha256": "ad6a886202bf60b5e6a9d81e3e9446145d380266d852001320e875f628fcbf3f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.04866",
    "kind": "arxiv",
    "version": 2
  }
}