Pith Number

pith:7CD2JFSI

pith:1999:7CD2JFSILTYMGMDFYS2DT3D7J3

not attested not anchored not stored refs pending

Embeddings from the point of view of immersion theory: Part II

Michael Weiss, Thomas G. Goodwillie

arxiv:math/9905203 v1 · 1999-05-28 · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7CD2JFSILTYMGMDFYS2DT3D7J3}

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	2026-05-18T02:37:59.254517Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f887a496485cf0c33065c4b439ec7f4ed3c6340f2d0f21893945d5357f06fb52

Aliases

arxiv: math/9905203 · arxiv_version: math/9905203v1 · doi: 10.48550/arxiv.math/9905203 · pith_short_12: 7CD2JFSILTYM · pith_short_16: 7CD2JFSILTYMGMDF · pith_short_8: 7CD2JFSI

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/7CD2JFSILTYMGMDFYS2DT3D7J3 \
  | 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: f887a496485cf0c33065c4b439ec7f4ed3c6340f2d0f21893945d5357f06fb52

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "095e1160285fa91a295cc76fe12ed19e061aa74ce28204434a805c3f0d1a5725",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "1999-05-28T00:00:00Z",
    "title_canon_sha256": "0adc7cadf71278a67d624c544556973ce2fcfdda17dd5137359250cf2c29b0bb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9905203",
    "kind": "arxiv",
    "version": 1
  }
}