Pith Number

pith:XDTK3UUV

pith:2011:XDTK3UUV2M3UKUW6ZYFZEK7KDZ

not attested not anchored not stored refs pending

Energy flow above the threshold of tunnel effect

Felix Ali Mehmeti, Robert Haller-Dintelmann, Virginie R\'egnier

arxiv:1111.1140 v1 · 2011-11-04 · 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{XDTK3UUV2M3UKUW6ZYFZEK7KDZ}

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	2026-05-18T04:09:35.650053Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b8e6add295d3374552dece0b922bea1e55fd51cc0408175565368a80fcee1161

Aliases

arxiv: 1111.1140 · arxiv_version: 1111.1140v1 · doi: 10.48550/arxiv.1111.1140 · pith_short_12: XDTK3UUV2M3U · pith_short_16: XDTK3UUV2M3UKUW6 · pith_short_8: XDTK3UUV

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/XDTK3UUV2M3UKUW6ZYFZEK7KDZ \
  | 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: b8e6add295d3374552dece0b922bea1e55fd51cc0408175565368a80fcee1161

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "193316cd033518c5231b5534633b0e484de7a4331cb3b6e42593c560422a5a75",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-11-04T14:32:53Z",
    "title_canon_sha256": "7c7063187f275320aa1ec4f0c70b46d098e48ed70c8abd6f3d75d22a4306e12c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.1140",
    "kind": "arxiv",
    "version": 1
  }
}