Pith Number

pith:C64PAW6B

pith:2011:C64PAW6BIPSUDK374PBBLJMIYB

not attested not anchored not stored refs pending

Ghost circles in lattice Aubry-Mather theory

Blaz Mramor, Bob Rink

arxiv:1111.5963 v1 · 2011-11-25 · 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{C64PAW6BIPSUDK374PBBLJMIYB}

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	2026-05-18T00:56:47.320515Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

17b8f05bc143e541ab7fe3c215a588c0679c3b4f88fee4f66fa9c1d7cc97221b

Aliases

arxiv: 1111.5963 · arxiv_version: 1111.5963v1 · doi: 10.48550/arxiv.1111.5963 · pith_short_12: C64PAW6BIPSU · pith_short_16: C64PAW6BIPSUDK37 · pith_short_8: C64PAW6B

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/C64PAW6BIPSUDK374PBBLJMIYB \
  | 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: 17b8f05bc143e541ab7fe3c215a588c0679c3b4f88fee4f66fa9c1d7cc97221b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f6da9af29678fcc4f5775678705667c5e3c47baf22a6f184f8c7c5684e30b201",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2011-11-25T12:22:07Z",
    "title_canon_sha256": "e69e1c359f507f5f17b13501c55e8494a9595ac5badb8ec47eaf3a0708a9afb3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.5963",
    "kind": "arxiv",
    "version": 1
  }
}