Pith Number

pith:HPPPELYF

pith:2007:HPPPELYFDSOQFWGEHR7X7N3SVW

not attested not anchored not stored refs pending

Brown representability for space-valued functors

Boris Chorny

arxiv:0707.0904 v3 · 2007-07-06 · 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{HPPPELYFDSOQFWGEHR7X7N3SVW}

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	2026-05-18T03:05:36.070860Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3bdef22f051c9d02d8c43c7f7fb772ad874a4e4e9bf4dbe90bcaad6916b3898e

Aliases

arxiv: 0707.0904 · arxiv_version: 0707.0904v3 · doi: 10.48550/arxiv.0707.0904 · pith_short_12: HPPPELYFDSOQ · pith_short_16: HPPPELYFDSOQFWGE · pith_short_8: HPPPELYF

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/HPPPELYFDSOQFWGEHR7X7N3SVW \
  | 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: 3bdef22f051c9d02d8c43c7f7fb772ad874a4e4e9bf4dbe90bcaad6916b3898e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0fa3938af9c6cecdec639c8d45bbf0df337cbadd80feb53ba740160c26dceda3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2007-07-06T05:35:43Z",
    "title_canon_sha256": "44b98f97894bd4c58ef6ec3fe4584723a5d3af59729def8c463b00cccab1b312"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0707.0904",
    "kind": "arxiv",
    "version": 3
  }
}