Pith Number

pith:IOTM5C7P

pith:2006:IOTM5C7PW2TELJB53NR2FKR3CO

not attested not anchored not stored refs pending

On the symmetry breaking phenomenon

Mircea Puta, Petre Birtea, R\u{a}zvan Micu Tudoran, Tudor S. Ratiu

arxiv:math/0601434 v1 · 2006-01-18 · math.DS · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IOTM5C7PW2TELJB53NR2FKR3CO}

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	2026-05-18T01:38:24.494763Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

43a6ce8befb6a645a43ddb63a2aa3b13b06ad0de33ea05d3a20bf68e3366d6b3

Aliases

arxiv: math/0601434 · arxiv_version: math/0601434v1 · doi: 10.48550/arxiv.math/0601434 · pith_short_12: IOTM5C7PW2TE · pith_short_16: IOTM5C7PW2TELJB5 · pith_short_8: IOTM5C7P

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/IOTM5C7PW2TELJB53NR2FKR3CO \
  | 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: 43a6ce8befb6a645a43ddb63a2aa3b13b06ad0de33ea05d3a20bf68e3366d6b3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "177520d18bb0ceb63c76c68d874b015e83e39e073de173bed65c4e0265763288",
    "cross_cats_sorted": [
      "math.SG"
    ],
    "license": "",
    "primary_cat": "math.DS",
    "submitted_at": "2006-01-18T11:39:59Z",
    "title_canon_sha256": "143e88aa63b831a840892bc830225bb514d628a50b2ac596d605d2f7239337eb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0601434",
    "kind": "arxiv",
    "version": 1
  }
}