Pith Number

pith:MHRP4EYX

pith:2017:MHRP4EYXSDNJIEPYE7Y7HOMRLX

not attested not anchored not stored refs pending

Walls in Milnor fiber complexes

Alexander R. Miller

arxiv:1710.03069 v1 · 2017-10-09 · math.CO · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MHRP4EYXSDNJIEPYE7Y7HOMRLX}

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	2026-05-18T00:32:54.667804Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

61e2fe131790da9411f827f1f3b9915dec6fb7cc4875b9cadf7c56dca3fd657e

Aliases

arxiv: 1710.03069 · arxiv_version: 1710.03069v1 · doi: 10.48550/arxiv.1710.03069 · pith_short_12: MHRP4EYXSDNJ · pith_short_16: MHRP4EYXSDNJIEPY · pith_short_8: MHRP4EYX

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/MHRP4EYXSDNJIEPYE7Y7HOMRLX \
  | 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: 61e2fe131790da9411f827f1f3b9915dec6fb7cc4875b9cadf7c56dca3fd657e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "caab61286fc65522cde62145eb58a91e8712d45c26c1e89939c8a581e858b332",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-10-09T13:00:08Z",
    "title_canon_sha256": "e85eb23c3a15756fd453486a263b50b8f2be84e75ec8a725012f2bcec81f24b5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.03069",
    "kind": "arxiv",
    "version": 1
  }
}