Pith Number

pith:DKW76E77

pith:2006:DKW76E77SI64DOF6QEMESUC4AO

not attested not anchored not stored refs pending

Equivariant homotopy theory for pro-spectra

Halvard Fausk

arxiv:math/0609635 v3 · 2006-09-22 · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DKW76E77SI64DOF6QEMESUC4AO}

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	2026-05-18T02:37:59.537702Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1aadff13ff923dc1b8be811849505c038f84c4a06f429aa584d7acae23169ded

Aliases

arxiv: math/0609635 · arxiv_version: math/0609635v3 · doi: 10.48550/arxiv.math/0609635 · pith_short_12: DKW76E77SI64 · pith_short_16: DKW76E77SI64DOF6 · pith_short_8: DKW76E77

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/DKW76E77SI64DOF6QEMESUC4AO \
  | 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: 1aadff13ff923dc1b8be811849505c038f84c4a06f429aa584d7acae23169ded

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "780b9edccc922213e8d875eba10853336607fdd2adb50acedb42da31ecf578f6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2006-09-22T10:45:56Z",
    "title_canon_sha256": "af46d7316c065eb59e4f6089a95beb9c9073bf2e2ad49f3327736fbee1f9fc25"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0609635",
    "kind": "arxiv",
    "version": 3
  }
}