Pith Number

pith:KIVBQCMG

pith:2012:KIVBQCMGHOUV3RGBID6JKFHW5X

not attested not anchored not stored refs pending

Periodic Points on the 2-sphere

Charles Pugh, Michael Shub

arxiv:1210.3717 v1 · 2012-10-13 · 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{KIVBQCMGHOUV3RGBID6JKFHW5X}

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	2026-05-18T03:43:17.288920Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

522a1809863ba95dc4c140fc9514f6edcad5c830796d1ad08dfd55489f0546a0

Aliases

arxiv: 1210.3717 · arxiv_version: 1210.3717v1 · doi: 10.48550/arxiv.1210.3717 · pith_short_12: KIVBQCMGHOUV · pith_short_16: KIVBQCMGHOUV3RGB · pith_short_8: KIVBQCMG

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/KIVBQCMGHOUV3RGBID6JKFHW5X \
  | 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: 522a1809863ba95dc4c140fc9514f6edcad5c830796d1ad08dfd55489f0546a0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8e3f2251f989618bfef5fec1c5668756ad31b022414188714dcbf35cc0d53d12",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2012-10-13T16:24:41Z",
    "title_canon_sha256": "680b7381ed83eb11934462a62a7ee58474aa0396a042db941f8fe12d02287237"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.3717",
    "kind": "arxiv",
    "version": 1
  }
}