Pith Number

pith:KDCLI6BL

pith:2016:KDCLI6BLWFVWWBJBCIZMTO2ADZ

not attested not anchored not stored refs pending

Failure of necessity of the energy condition

Chun-Yen Shen, Eric T. Sawyer, Ignacio Uriarte-Tuero

arxiv:1607.06071 v3 · 2016-07-20 · 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{KDCLI6BLWFVWWBJBCIZMTO2ADZ}

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	2026-05-18T00:33:07.160377Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

50c4b4782bb16b6b05211232c9bb401e68eeae80144a754044da7ef8da681047

Aliases

arxiv: 1607.06071 · arxiv_version: 1607.06071v3 · doi: 10.48550/arxiv.1607.06071 · pith_short_12: KDCLI6BLWFVW · pith_short_16: KDCLI6BLWFVWWBJB · pith_short_8: KDCLI6BL

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/KDCLI6BLWFVWWBJBCIZMTO2ADZ \
  | 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: 50c4b4782bb16b6b05211232c9bb401e68eeae80144a754044da7ef8da681047

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "254b08808681e4a5b6b36d55a18a73d5f78581168f2c3527de0ec204a653d909",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2016-07-20T19:37:44Z",
    "title_canon_sha256": "915866789aa49ddedf49f520df5ca198fc3b6c5a2c3d24b15545969164e90dea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.06071",
    "kind": "arxiv",
    "version": 3
  }
}