Pith Number

pith:BEQDL54H

pith:2010:BEQDL54HQM62HTOLAA3UJA3UJZ

not attested not anchored not stored refs pending

Pressures for Asymptotically Sub-additive Potentials Under a Mistake Function

Wen-Chiao Cheng, Yongluo Cao, Yun Zhao

arxiv:1008.4465 v1 · 2010-08-26 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BEQDL54HQM62HTOLAA3UJA3UJZ}

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	2026-05-18T04:41:45.265660Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

092035f787833da3cdcb00374483744e661f03e0a421860073d556a78450c677

Aliases

arxiv: 1008.4465 · arxiv_version: 1008.4465v1 · doi: 10.48550/arxiv.1008.4465 · pith_short_12: BEQDL54HQM62 · pith_short_16: BEQDL54HQM62HTOL · pith_short_8: BEQDL54H

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/BEQDL54HQM62HTOLAA3UJA3UJZ \
  | 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: 092035f787833da3cdcb00374483744e661f03e0a421860073d556a78450c677

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4d8d160ab92635c4ed4b7b0528bbb9814dc0adda8c51e543150e6f91f639567e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2010-08-26T09:53:59Z",
    "title_canon_sha256": "c2761f4875e19a99535a4b1b5aa2e63cb0fde98d86738052c79dd83cbe7d1507"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.4465",
    "kind": "arxiv",
    "version": 1
  }
}