Pith Number

pith:2TTTZA3R

pith:2014:2TTTZA3R24MS42SESIFJQOWGBW

not attested not anchored not stored refs pending

An entropic characterization of the flat metrics on the two torus

Cl\'emence Labrousse (CEREMADE, DMA), Patrick Bernard (CEREMADE

arxiv:1406.0794 v1 · 2014-06-03 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2TTTZA3R24MS42SESIFJQOWGBW}

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	2026-05-18T02:50:32.805984Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d4e73c8371d7192e6a44920a983ac60d83e8010dba775f14f5fa6639ec6824cb

Aliases

arxiv: 1406.0794 · arxiv_version: 1406.0794v1 · doi: 10.48550/arxiv.1406.0794 · pith_short_12: 2TTTZA3R24MS · pith_short_16: 2TTTZA3R24MS42SE · pith_short_8: 2TTTZA3R

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/2TTTZA3R24MS42SESIFJQOWGBW \
  | 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: d4e73c8371d7192e6a44920a983ac60d83e8010dba775f14f5fa6639ec6824cb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "04d0adcb3329aa3411e12c14e92b4b565c5586aa636d6071c87a8c5217651fb5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2014-06-03T17:27:35Z",
    "title_canon_sha256": "ccd3f6fe6992cfeae7b21307e84e61c885f5460f8254646ff55e45672db2559b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1406.0794",
    "kind": "arxiv",
    "version": 1
  }
}