Pith Number

pith:45CIE5R7

pith:2006:45CIE5R7XDVOR2PKTFCHELPWSJ

not attested not anchored not stored refs pending

Fredholm realizations of elliptic symbols on manifolds with boundary

Pierre Albin, Richard Melrose

arxiv:math/0607154 v2 · 2006-07-06 · math.DG · math.KT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{45CIE5R7XDVOR2PKTFCHELPWSJ}

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	2026-05-18T04:32:20.582894Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e74482763fb8eae8e9ea9944722df6925700e2137fa6b2bf870f9fda8c6b612d

Aliases

arxiv: math/0607154 · arxiv_version: math/0607154v2 · doi: 10.48550/arxiv.math/0607154 · pith_short_12: 45CIE5R7XDVO · pith_short_16: 45CIE5R7XDVOR2PK · pith_short_8: 45CIE5R7

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/45CIE5R7XDVOR2PKTFCHELPWSJ \
  | 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: e74482763fb8eae8e9ea9944722df6925700e2137fa6b2bf870f9fda8c6b612d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "199554e8a2ff16003cb8110c30907c365ebf719864b60cb101481360bd76492d",
    "cross_cats_sorted": [
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2006-07-06T11:30:35Z",
    "title_canon_sha256": "2832e75b57f829d185e88f2881235faec3f3b204593f63a952c4abf5722364da"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0607154",
    "kind": "arxiv",
    "version": 2
  }
}