Pith Number

pith:EA256OBK

pith:2011:EA256OBKBD5SGJJB7QQVOJ24FE

not attested not anchored not stored refs pending

Median values, 1-harmonic functions, and functions of least gradient

Heather A. Van Dyke, Matthew B. Rudd

arxiv:1108.1370 v1 · 2011-08-05 · math.AP · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EA256OBKBD5SGJJB7QQVOJ24FE}

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	2026-05-18T04:16:11.091242Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2035df382a08fb232521fc2157275c29244dbf50746755cddd909d5dd626592d

Aliases

arxiv: 1108.1370 · arxiv_version: 1108.1370v1 · doi: 10.48550/arxiv.1108.1370 · pith_short_12: EA256OBKBD5S · pith_short_16: EA256OBKBD5SGJJB · pith_short_8: EA256OBK

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/EA256OBKBD5SGJJB7QQVOJ24FE \
  | 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: 2035df382a08fb232521fc2157275c29244dbf50746755cddd909d5dd626592d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "06df3232f0d97188b5e4f3852ee87e13ad13d5c00beee9a3aaccd4e97fdd9b11",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-08-05T16:54:30Z",
    "title_canon_sha256": "b02584f9fb9d882dad0e1cccb44faea0acf5154142259918384aa90e56105f6c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.1370",
    "kind": "arxiv",
    "version": 1
  }
}