Pith Number

pith:DPEYD4PN

pith:2011:DPEYD4PN3JREZZ3FBV5GO3NFX2

not attested not anchored not stored refs pending

A new approach to Liouville theorems for elliptic inequalities

Boyan Sirakov, Scott N. Armstrong

arxiv:1103.1237 v1 · 2011-03-07 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DPEYD4PN3JREZZ3FBV5GO3NFX2}

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	2026-05-18T04:27:16.842542Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1bc981f1edda624ce7650d7a676da5be84ff06dbb517eaa5cbfcb3d5c19b7339

Aliases

arxiv: 1103.1237 · arxiv_version: 1103.1237v1 · doi: 10.48550/arxiv.1103.1237 · pith_short_12: DPEYD4PN3JRE · pith_short_16: DPEYD4PN3JREZZ3F · pith_short_8: DPEYD4PN

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/DPEYD4PN3JREZZ3FBV5GO3NFX2 \
  | 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: 1bc981f1edda624ce7650d7a676da5be84ff06dbb517eaa5cbfcb3d5c19b7339

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1c2039d91552da91d57b7b4de51a8caa307375800eb56fbb094953effd2deb00",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-03-07T11:06:06Z",
    "title_canon_sha256": "6a776e86636bcac52f509752aee3fadc77fa45068875fdc8b0b50c5ea9275693"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.1237",
    "kind": "arxiv",
    "version": 1
  }
}