Pith Number

pith:AQ4W7BZY

pith:2015:AQ4W7BZY6ANK2TWA4JYHNQSQOG

not attested not anchored not stored refs pending

Convexity and concavity of the ground state energy

Herbert Koch

arxiv:1502.07290 v2 · 2015-02-23 · 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{AQ4W7BZY6ANK2TWA4JYHNQSQOG}

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	2026-05-18T01:30:15.286070Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

04396f8738f01aad4ec0e27076c25071954b232cd4856c1adbc308f68ed52a3f

Aliases

arxiv: 1502.07290 · arxiv_version: 1502.07290v2 · doi: 10.48550/arxiv.1502.07290 · pith_short_12: AQ4W7BZY6ANK · pith_short_16: AQ4W7BZY6ANK2TWA · pith_short_8: AQ4W7BZY

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/AQ4W7BZY6ANK2TWA4JYHNQSQOG \
  | 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: 04396f8738f01aad4ec0e27076c25071954b232cd4856c1adbc308f68ed52a3f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cab677b8607049d0f7eedf55f6cefd44977780b2c9b7a1ca7b6818047fc6a777",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2015-02-23T11:22:59Z",
    "title_canon_sha256": "aac3ed4a5fe7fd91f8710d4b6e5569f110e06aad5eb02f6ee5b05f90082fa043"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.07290",
    "kind": "arxiv",
    "version": 2
  }
}