Pith Number

pith:IYDYKTI4

pith:2019:IYDYKTI45DK277QQ2CJHCK6EGJ

not attested not anchored not stored refs pending

Une nouvelle minoration pour la trace des entiers alg\'ebriques totalement positifs

V.Flammang

arxiv:1907.09407 v1 · 2019-07-22 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IYDYKTI45DK277QQ2CJHCK6EGJ}

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	2026-05-17T23:39:59.294015Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4607854d1ce8d5affe10d092712bc432709b911cdfdc627cd97fb0e7cea343cc

Aliases

arxiv: 1907.09407 · arxiv_version: 1907.09407v1 · doi: 10.48550/arxiv.1907.09407 · pith_short_12: IYDYKTI45DK2 · pith_short_16: IYDYKTI45DK277QQ · pith_short_8: IYDYKTI4

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/IYDYKTI45DK277QQ2CJHCK6EGJ \
  | 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: 4607854d1ce8d5affe10d092712bc432709b911cdfdc627cd97fb0e7cea343cc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e427f1ac34f00441c159f2cb7bd3f343e79d6acc8b913866caa2990977e6ab0d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2019-07-22T16:32:43Z",
    "title_canon_sha256": "d9a911ad0a03e0062700bea7cc8309cb612f8c5b23ff3943c1b161f80d1d0659"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.09407",
    "kind": "arxiv",
    "version": 1
  }
}