Pith Number

pith:3UDK6FER

pith:2025:3UDK6FERDMSVRUOULG44PW2PLS

not attested not anchored not stored refs pending

On polynomial progressions via transference

Daniel Altman, Mehtaab Sawhney

arxiv:2506.13010 v1 · 2025-06-16 · math.NT · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3UDK6FERDMSVRUOULG44PW2PLS}

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	2026-07-05T11:22:03.830381Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dd06af14911b2558d1d459b9c7db4f5ca47c372fea50757a075d34d91743b47c

Aliases

arxiv: 2506.13010 · arxiv_version: 2506.13010v1 · doi: 10.48550/arxiv.2506.13010 · pith_short_12: 3UDK6FERDMSV · pith_short_16: 3UDK6FERDMSVRUOU · pith_short_8: 3UDK6FER

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/3UDK6FERDMSVRUOULG44PW2PLS \
  | 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: dd06af14911b2558d1d459b9c7db4f5ca47c372fea50757a075d34d91743b47c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "814a42ec1a1a31a96d24337ace0cee0c65def00eeb5f4f408ed19cec9746c99f",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2025-06-16T00:38:54Z",
    "title_canon_sha256": "e83e46f70cc55473ead7a577accf903c4c8d1f07fa3b75c8fb03cd4865a2cb45"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.13010",
    "kind": "arxiv",
    "version": 1
  }
}