Pith Number

pith:PJCEWAW3

pith:2017:PJCEWAW3MMY23YAX56EJZLOXW3

not attested not anchored not stored refs pending

A Mass Transference Principle for systems of linear forms and its applications

Demi Allen, Victor Beresnevich

arxiv:1703.10015 v2 · 2017-03-29 · math.NT · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PJCEWAW3MMY23YAX56EJZLOXW3}

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	2026-05-17T23:53:12.800158Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7a444b02db6331ade017ef889cadd7b6f127c053e75062032a4976f97b6e0c1c

Aliases

arxiv: 1703.10015 · arxiv_version: 1703.10015v2 · doi: 10.48550/arxiv.1703.10015 · pith_short_12: PJCEWAW3MMY2 · pith_short_16: PJCEWAW3MMY23YAX · pith_short_8: PJCEWAW3

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/PJCEWAW3MMY23YAX56EJZLOXW3 \
  | 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: 7a444b02db6331ade017ef889cadd7b6f127c053e75062032a4976f97b6e0c1c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5724e7ae123a71dd5c39aaea4b2cb86f13fd4a8beb730dba340f6e49341adfb5",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-03-29T12:59:52Z",
    "title_canon_sha256": "d887f68adb959da3eba72bc3e157df9d5c1592eab3a19bff55bdda46daae2498"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.10015",
    "kind": "arxiv",
    "version": 2
  }
}