Pith Number

pith:5I2W7TTQ

pith:2007:5I2W7TTQA6RXDTQEB7YLLNWI7E

not attested not anchored not stored refs pending

The quantitative behaviour of polynomial orbits on nilmanifolds

Ben Green, Terence Tao

arxiv:0709.3562 v6 · 2007-09-22 · math.NT · 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{5I2W7TTQA6RXDTQEB7YLLNWI7E}

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	2026-05-18T01:35:21.024773Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ea356fce7007a371ce040ff0b5b6c8f924d17e9209b6587a1ae18ae1aecd0b9c

Aliases

arxiv: 0709.3562 · arxiv_version: 0709.3562v6 · doi: 10.48550/arxiv.0709.3562 · pith_short_12: 5I2W7TTQA6RX · pith_short_16: 5I2W7TTQA6RXDTQE · pith_short_8: 5I2W7TTQ

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/5I2W7TTQA6RXDTQEB7YLLNWI7E \
  | 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: ea356fce7007a371ce040ff0b5b6c8f924d17e9209b6587a1ae18ae1aecd0b9c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8dfc2d0e5ee320a628f20bff53384ca4a6dfdeb762e01d7f37229164fb10bd26",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2007-09-22T04:32:19Z",
    "title_canon_sha256": "44cd354167a6db37918a62661be8a4f56fa09136917a197df79d1c579f6297fb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0709.3562",
    "kind": "arxiv",
    "version": 6
  }
}